Question

The area of the sector of a circle is 128 cm2. If the length of the arc of that sector is 64 cm, then find the radius of the circle.

• A. 4 cm
• B. 8 cm
• C. 2 cm
• D. 16 cm

Answer 1

Answer:

A. 4 cm

Solution:

Given:

Area of the sector of a circle = 128 cm²

Length of the arc = 64 cm

Formula Used:

$Area =\frac{lr}{2}$

Calculations:

According to the formula,

$Area =\frac{lr}{2}$

⇒ $128=\frac{64\times{r}}{2}$

⇒ r = 2 x 2 = 4 cm

⇒ Hence, The radius of the circle is 4 cm