Question

The circle A touches circle B and passes through the centre of circle B. If th
circle A is 100cm?, then the area of circle B is
A) 200 cm? B) 300 cm2 C) 400 cm? D) 500 cm
ex​

Answer 1

Dear Student,

◆ Answer -

(C) 400 sq.cm

● Explaination -

Given that circle A touches circle B and passes through the centre of circle B. For this circle A must be inside circle B (look at the figure).

Now, radius of circle B is equal to diameter A.

Radius of circle B = 2 × radius of circle A

Now, area of circle B will be 4 times that of A which will be 4 × 100 = 400 sq.cm.

Hope this helps you...

Answer 2

The answer is 400cm^2