Question

Find the area of a circle with a circumference of 37.68

Answer 1

Answer:

area of a circle is 112.937m²

Step-by-step explanation:

given that :

circumference of circle = 37.68

it may be in (m)

so circumference of circle = 37.68 m

formula for circumference of circle = 2πr

let's equate them :

2πr = 37.68 m

r = (37.68 m) / (2π)

r = (37.68) / (2π)

r = (18.84) / π

area of circle is πr²

r = radius of circle

area = π(r²)

substitute value of 'r' in above formula

area = π((18.84) / π)²

= π[(18.84)²]/ π²

= (18.84)²/π

π can be taken as 22/7;

area =  (18.84)² / (22/7)

= (7) (18.84)²/(22)

= (7/22)(18.84)(18.84)

=(7/22)(354.9456)

=(7)(354.9456) / 22

= (2484.6192) / (22)

= 112.937m²

area of a circle is 112.937m²