Question

find the area of a circle which has circumference equal to the parimeter of a rectangle with the length 36cm and area 1080cm2.​

Answer 1

the given length = 36cm

area of rectangle = L×b

1080= 36× b

1080/36 =b

b= 30 cm

perimeter of rectangle = 2(L+b)

= 2 ( 36+ 30)

= 2×66

= 132 cm^2

perimeter of rectangle = perimeter of circle

$132 = 2\pi \times r \\ \frac{132}{2\pi} = r \\ \frac{66}{\pi} = r \\ r = 66 \times \frac{7}{22} \\ r = 3 \times 7 \\ r = 21cm$

answer