Question

If a circle has a radius of 12 and a sector defined by a 78 degree arc, what is the area, in cm2, of the sector? Round your answer to the nearest tenth.

Answer 1

A = (78/360)*3.14*12^2
A = (78/360) * 3.14 * 144
A = (78/360) * 452.16
A = 97.968 cm^2 = 98.0 cm^2

Answer 2

Answer:

Required area of the sector of circle is $97.97cm^2$

Step-by-step explanation:

We have given angle $78^{\circ}$  and radius is 12

We have formula for area of the sector of a circle is $\frac{\theta}{360}\cdot \pi\cdot r^2$

Here, $\theta=78^{\circ}$

$r=12$

On substituting the values we will get

$Area=\frac{78^{\circ}}{360}\cdot \pi\cdot {12}^2$

Using $\pi=3.14$

$\Rightarrow Area=\frac{78^{\circ}}{360}\cdot3.14\cdot 144$

After simplification we will get

$\Rightarrow Area=\frac{35268.48}{360}$

After further simplification we will get

$\Rightarrow Area=97.968=97.97$