Question

the difference between the circumference and radius of the circle is 37 find the area of a circle

Answer 1

Let the radius be r.
Then circumference of the circle = 2πr.

Given; 2πr-r = 37

r( 2π -1 ) = 37

r = 37(2π-1)

2π- 1 = 2(22/7)-1 = 44/7-1 = 37/7

Now r = 37(37/7) = 7 units.

Area of circle =πr² = 22/7*7*7 = 22*7=154 sq.units .

Answer 2

❤Here is your solution ❤

Circumference of the circle = 2 × π× r

Let

r = radius

Now,

Given difference of circumference and radius   = 37m

A/q

Circumference - r = 37

=>2 π r - r = 37

=>r (2π - 1 )=37

=>r (2×22/7 -1)=37

=>44/7 r -r = 37

=>37r/7= 37

=>r = 7m

Hence

Area of circle = π r ^2 = 3.14 × 7 × 7 = 154 sq. m.

Hope it helps you