Question

If the difference between the circumference and radius of a circle is 37 cm, then its area is
(a)154 cm²
(b)160 cm²
(c)200 cm²
(d)150 cm²

Answer 1

Answer:

The Area of the circle is 154 cm²  

Among the given options option (a) 154 cm² is the correct answer.

Step-by-step explanation:

Given :  

Circumference of the circle -  Radius of the circle  = 37 cm

Let C be the circumference of the circle and r be the radius of a circle

2πr -  r = 37  

r (2π - 1) = 37

r(2 × 22/7 - 1) = 37

r(44/7 - 1) = 37

r((44 - 7)/7) = 37

r × 37/7 = 37

37r/7 = 37

37r = 37 × 7

r = (37× 7)/37

r = 7 cm

Radius of the circle ,r = 7 cm

Area of the circle,A = πr²

A = 22/7 ×7 × 7

A = 22 × 7  cm

A = 154 cm²

Area of the circle = 154 cm²

Hence,the Area of the circle is 154 cm²  

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

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Taking pi as 3.14 will give an approximate answer. You can do it by taking 22/7 as well

Let the radius be r cm

Circumference will be,

2 r = 2 * 3.14 * r= 6.28r

ATQ,  6.28r- 1r =37

5.28r = 37

r= 37/5.28

r= approx. 7 cm 

Area=  r² =  3.14 * 7 * 7 = 154 

Answer= 154 sq cm..

$\large\underline\mathfrak\red{Thank\:You}$