Question

The circumference of a circle exceeds its diameter by 30cm. Find the radius of the circle

Answer 1

$\Huge{\boxed{\red{\mathbb{ANSWER}}}}$

$\bold{Given\:that,}$

Diameter = 30cm

Circumference of a circle = 2πr

D + 30cm = 2πr

But, diameter = 2r

Therefore, 2πr = 2r + 30

2r(π-1) = 30

r(($\frac{22}{7} - 1)$ = 15

r = $15 \times \frac{7}{15}$

r = 7cm.

$\large{\bold{\underline{Therefore,\:the\:radius\:is\:7cm.}}}$