Question

Find the area of sector JKL. Enter your answer in terms of a fraction of π and rounded to the nearest hundredth.

Answer 1

Given:

The radius of the circle is 4 cm.

The angle of the sector JKL is 135°

We need to determine the area of the sector JKL

Area of the sector:

The area of the sector can be determined using the formula,

$A=\frac{\theta}{360^{\circ}} \times \pi r^{2}$

Substituting $\theta=135^{\circ}$ , $r=4$, we get;

$A=\frac{135^{\circ}}{360^{\circ}} \times (3.14) (4)^{2}$

$A=\frac{3}{8} \times (3.14) (16)$

$A=\frac{150.72}{8}$

$A=18.84 \ cm^2$

Thus, the area of the sector is 18.84 cm²