How would I find the area of this rectangle?

Question

How do I find the area of a rectangle with a length of 16 that is inscribed in a circle with a radius of 10?

Answer 1

that person is wrong

okay so the diameter is 20. 20 is the length of the diagonal of the rectangle. then use the pythagorean theroem to show
if x is the width

20*20=16*16+ X*X

400=256+X*X

X*X= 144

X=12


12*16= 192

Answer 2

Area of a rectangle = height times length.

If the circle has a radius of 10, then its diameter is twice that therefore 20.

so the dimensions of the rectangle are 16 by 20.

the area would equal 16 x 20 = 320.

Answer 3

enable L and B be the length and breadth resply of the rectangle Now on condition that, P = 2(L + B) = 30 and A = L * B = fifty 4 or L + B = 30 / 2 L = 15-B ........eqn I and L = fifty 4/B ...... eqn II accordingly we get fifty 4 / B = 15 - B (from eqn I and II) B^2 -15B + fifty 4 = 0 B = 6 , 9 even as B is 6 L is 9 or perhaps as B is 9 L is 6 accordingly, the longest area of the rectangle is 9 inches.

Answer 4

If it is in the circle then the diagonal of the rectangle is the diameter of the circle. Find the diagonal using pythagorean theorem

see image
http://caesarrodneyhs.com/problem001.jpg