Question

3.
If a circle has an area of 154 cm’, its radias will be
i. 5 cm
ii.
6 cm
7 cm
iv.
8 cm​

Answer 1

Given:-

• Area of circle = 154 cm

To find:-

• The radius of the circle

Solution:-

Area of the circle = A = 154 cm

Let "r" be the radius of the circle

Radius = r = $\displaystyle\sqrt{\frac{A}{\pi }}$

$\implies\displaystyle\sqrt{\frac{154}{\frac{22}{7}}}$

$\implies\displaystyle{\sqrt{\frac{154 \times 7}{22}}}$

$\implies\displaystyle\sqrt{7 \times 7}$

$\implies\boxed{\boxed{\Large 7}}$

Therefore, the radius of the circle = 7 cm