Square inscribed a 30 ft diameter has a diagonal equal to 30 ft.
Use the Pythagorean theorem, and side^2 + side^2 = 30^2
2s^2 = 900
s^2 = 450
side length = square root of 450, simplify
15sqrt(2) = s
Area = s^2 = 450 square feet
Perimeter = 4s = 4*15*sqrt(2) = 60 times the square root of 2
The diameter of the circle is congruent to the length of the diagonal of the inside square. If you know the length of one side of the square, you can use pythagorean's theorem to solve for its diagonal (hypotenuse) and thusly the square's diameter.
There are many angles inside a circle. You have inscribed angles, right angles, and central angles. These angles are formed from using chords, secants, and tangents.
Short instructions:Construct the diameter of the circle at the tangent point Construct a line at right angles to the diameter at the tangent point. this is a tangent to the circle at that point.Detailed instructions with compass and straight edge:Given: circle C with a point T on the circumference Sought: Tangent to C at TFind the center circle CPlace the needle of the compass on the (circumference of) circle C (anywhere), draw a circle [circle 1] (I think circle 1 has to be smaller than twice the diameter of circle C).Without changing the compass size, place the needle of the compass on the intersection of circles C and circle 1, draw a circle (circle 2)Without changing the compass size, place the needle of the compass on the other intersection of circles C and circle 1, draw a circle (circle 3)Connect the intersections of circle 1 and circle 2 (one is outside and one inside circle A) this we call [ line 1]Connect the intersections of circle 2 and circle 3 (also here one is outside and one inside C) [line 2]The intersection of line 1 and Line 2 is [O]. This is the center of circle CDraw a line [line 3] from [O] through [T] and beyondConstruct the diameter of the circle at [T] (the point for the tangent) and extend it beyond the circumference of circle C With your compass needle at [T] mark off equal distances on [line 3] inside and outside circle C. We call these points [4] & [5]Increase the compass size somewhat and with the needle at [4] draw a circle [circle 4]Without changing the compass draw [circle 5] centered on [5]Construct a line perpendicular to line 3 at [T]The line through the intersections of circle 4 and circle 5 is the sought tangent at [T]Note: although the instructions say "draw a circle" often it is sufficient to just mark a short arc of the circle at the appropriate place. This will keep the drawing cleaner and easier to interpret.
I would assume it to be 42 ft depending if you are talking about the inside of the room or the outside perimeter
You find the area of the whole square first. Then you find the area of the circle inside of it And then subtract the area of the circle from the area of the square and then you get the shaded area of the square
I love you KAvita
The diameter of the circle is congruent to the length of the diagonal of the inside square. If you know the length of one side of the square, you can use pythagorean's theorem to solve for its diagonal (hypotenuse) and thusly the square's diameter.
Inscribed
Assuming the semicrcles make a circle that fits precisely inside the square, then the perimeter of the square is 4d, where d is the diameter of the circle (or semicircle) C Bad
the circle is inscribed in the polygon
incenter
Circumference is the outside of the circle and the inside is the are of the circle. And inside of the circle, there is diameter and radius. Radius is from the center point to the edge of the circle and diameter is all the way across.
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
The longest measurement inside a circle is its diameter.
The longest measurement inside a circle is its diameter.
Inscribed polygon, since it is inside the circle.
== == Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.