Question

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

Answer 1

Formulae :- Circumference of circle = 2πr

Area of the circle = πr²

[ r indicates radius of the circle ]

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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