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How do you find the area of a circle with a square whose area is 100 and is an inscribed angle?
Wiki User
∙ 11y ago
I'm going to assume you mean that a square with area 100 units2 is inscribed in the circle.
The area of the square is 100 units2, so the side of the square is 10 units long. The distance from the center of the square (also the center of the circle) to the midpoints of each side of the square is 5 units. Using the Pythagorean theorem, we find that the distance from the center to a vertex of the square is 5*sqrt(2) units.
Since the vertices of the square lie on the circle, this is also the radius of the circle. The area of the circle is pi times the radius squared, or pi * 5*sqrt(2) * 5*sqrt(2) = 50*pi.
Wiki User
∙ 11y ago
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What is an incribed angle in circle?
An inscribed angle is an angle whose vertex is on the circle and whose sides are chords.
Is an inscribed angle that intercepts an arc whose measure is greater than 180 degrees always acute?
Not if the curve is not a circle.
What is the area of the biggest circle that can be inscribed in a square whose sides measure 14 inches?
Radius of the circle will be 7 inches and its area is pi*7^2 = 154 square inches rounded to a whole number
What do you call the angle whose vertex is at the center of the circle and whose sides are the radii of the circle?
It is the subtended angle of the arc
Can an angle whose vertex is at the center of a circle is a middle angle of that circle?
Yes.
What is an incribed angle in circle?
An inscribed angle is an angle whose vertex is on the circle and whose sides are chords.
What is an angle whose vertex lies on the circle and whose sides are chords of the circle?
Inscribed angle
What do you call the angle whose vertex on the circle and whose sides contain chords of the circle?
It is an inscribed angle.
An angle whose vertex is on the circumference of a circle and whose sides include chords of the circle is what kind of angle?
An inscribed angle.
An angle whose vertex is the center of a circle is a?
Inscribed angle
An angle whose vertex is at the center of a circle is a middle angle of that circle True or false?
False. There are infinitely many angles at the centre of the circle.
Is an inscribed angle that intercepts an arc whose measure is greater than 180 degrees always acute?
Not if the curve is not a circle.
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.
A Polygon whose vertices are on a circle and whose other points are inside the circle?
Inscribed Polygon
A polygon whose vertices are on a circle and whose edges are within the circle is an?
Inscribed polygon, since it is inside the circle.
A polygon whose vertices are on the circle and whose edges are within the is an?
An inscribed polygon
What is the area of the biggest circle that can be inscribed in a square whose sides measure 14 inches?
Radius of the circle will be 7 inches and its area is pi*7^2 = 154 square inches rounded to a whole number
