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What is the only parallelogram that can be inscribed in a circle?
Any parallelogram can be inscribed in a circle if the parallelogram is sufficiently small, but only two of the "corners" (a corner is a vertex) of the parallelogram will lie on the circle. But any parallelogram with four right angles (a rectangle or a square) can be inscribed in a circle, and all four of the vertexes will lie on the circumference. So the only parallelogram that can be inscribed in a circle is a rectangle.You'll recall that a parallelogram is a quadrilateral with two pairs of parallel sides. If the interior angles of a parallelogram are right angles, that sets conditions for a special case of a parallelogram called a rectangle. If the sides of a given rectangle are the same length, that rectangle is now a special case of rectangle called a square. Any rectangle (including the special case of the square) can be inscribed inside a circle so all vertexes lie on the circle.If we're interested in a construction project, start by drawing a circle. Then pick any two points on the circle and connect them with a line segment. Next, draw a line segment from each of the original points across the circle, insuring that each line segment is at a right angle to that first line segment. Lastly, connect the two points on the circle where those last two line segments have interesected the circle. You'll find that in every case you try, you'll have constructed a rectangle. And if the line segments all end up the same length, your rectangle will be a square.
Is a rectangle a figure with no angles the same size?
No, a rectangle is not a figure with no angles. A rectangle is a quadrilateral with four right angles. Each angle in a rectangle measures 90 degrees. If a figure has no angles, it would be a circle, which has no straight lines or angles.
Do perpendicular lines have the same y-intercept?
no, a perpindicular is two lines with one interseption and where the lines meet they create 4 90 degree angles the lines create a t shepe.
If two angles have the same angle measure then they are said to be .?
Congruent angles (or equivalent angles) have the same angle measure.
What are lines called that have the same slope and the same y intercept?
parallel lines.
The opposite angles of a quadrilateral inscribed in a circle are?
The opposite angles of a quadrilateral inscribed in a circle are supplementary, meaning they add up to 180 degrees. This is due to the property that the sum of the opposite angles of any quadrilateral inscribed in a circle is always 180 degrees. This property can be proven using properties of angles subtended by the same arc in a circle.
Do Inscribed angles have the same measure as their intercepted arcs?
No they do not unless it is a circle with radius (180/pi) and the angles are measured in degrees, or a circle with radius (1/pi) and the angles are measured in radians.
What is angles in segment?
Angles in a segment refer to the angles formed within a particular segment of a circle, specifically the angles that are subtended by the endpoints of the segment at any point on the arc. These angles can be classified into different types, such as inscribed angles, which are formed by two chords in the circle that meet at a point on the circle. The measure of an inscribed angle is always half the measure of the central angle that subtends the same arc. Understanding these angles is essential in various geometric concepts and theorems related to circles.
How do you work out the area of a circle in a square?
The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.
If two angles intercept the same arc are they always congruent?
No, they need not be.
Do parallels lines intercept congruent arcs on a circle?
Only when they are the same lengths.
What is the only parallelogram that can be inscribed in a circle?
Any parallelogram can be inscribed in a circle if the parallelogram is sufficiently small, but only two of the "corners" (a corner is a vertex) of the parallelogram will lie on the circle. But any parallelogram with four right angles (a rectangle or a square) can be inscribed in a circle, and all four of the vertexes will lie on the circumference. So the only parallelogram that can be inscribed in a circle is a rectangle.You'll recall that a parallelogram is a quadrilateral with two pairs of parallel sides. If the interior angles of a parallelogram are right angles, that sets conditions for a special case of a parallelogram called a rectangle. If the sides of a given rectangle are the same length, that rectangle is now a special case of rectangle called a square. Any rectangle (including the special case of the square) can be inscribed inside a circle so all vertexes lie on the circle.If we're interested in a construction project, start by drawing a circle. Then pick any two points on the circle and connect them with a line segment. Next, draw a line segment from each of the original points across the circle, insuring that each line segment is at a right angle to that first line segment. Lastly, connect the two points on the circle where those last two line segments have interesected the circle. You'll find that in every case you try, you'll have constructed a rectangle. And if the line segments all end up the same length, your rectangle will be a square.
How is the inscribed circle and circumscribed circle alike?
The inscribed circle and circumscribed circle of a polygon are alike in that both are defined relative to the polygon's vertices and sides. The inscribed circle, or incircle, touches each side of the polygon at one point, while the circumscribed circle, or circumcircle, passes through all the vertices. Both circles are essential in understanding the geometric properties of the polygon and are centered around the same point in regular polygons. Additionally, they are crucial for calculating various measurements, such as area and radius.
Where is the center point of the pentagon inscribed in a circle?
assuming this is a regular pentagon (all five sides are equal length) the center is the intersection of the intersection of perpendicular bisectors of each side and should also be the center of the circle in which it is inscribed
What is the relation between the arc length and angle for a sector of a circle?
A sector is the area enclosed by two radii of a circle and their intercepted arc, and the angle that is formed by these radii, is called a central angle. A central angle is measured by its intercepted arc. It has the same number of degrees as the arc it intercepts. For example, a central angle which is a right angle intercepts a 90 degrees arc; a 30 degrees central angle intercepts a 30 degrees arc, and a central angle which is a straight angle intercepts a semicircle of 180 degrees. Whereas, an inscribed angle is an angle whose vertex is on the circle and whose sides are chords. An inscribed angle is also measured by its intercepted arc. But, it has one half of the number of degrees of the arc it intercepts. For example, an inscribed angle which is a right angle intercepts a 180 degrees arc. So, we can say that an angle inscribed in a semicircle is a right angle; a 30 degrees inscribed angle intercepts a 60 degrees arc. In the same or congruent circles, congruent inscribed angles have congruent intercepted arcs.
How much larger is the side of a square circumscribing a circle 155 cm indiameter than a square inscribed in the same circle?
The circumscribing square has sides of length 155 cm. The inscribed square has diagonals of 155 cm and so has sides of 155/sqrt(2) cm. The sides of a circumscribing square is always larger than those of the inscribed square by sqrt(2) = 1.4142 (approx). The area of a circumscribing square is always larger twice as large as that of the inscribed square.
Does an angle of 1 radian stay the same if the size of the circle changes?
Yes. Angles remain the same irrespective of scale.
