Question

Jeanie wants to hang a circular mirror in a frame in her front hall. Determine the area of the largest mirror Jeanie can hang if the frame has a circumference of 56 inches.

Answer 1

254.5 in^2

Explanation:

Given that the circumference of the frame is 56in

we can proceed to obtain the radius of the frame

we know that

circumference= 2πr

56= 2*3.142*r

56= 6.284r

divide both sides by 6.284

r= 56/6.284

r=8.9

approximately radius is 9in

therefore the area of the mirror that is largest would be

Area= πr^2

Area= 3.142*9^2

Area= 3.142*81

Area= 254.5 in^2

The largest area is 254.5 in^2