Question

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

The area of sector JKL is π ≈ _____ cm2.

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=(\theta)/(360^(\circ)) * \pi r^(2)`

Substituting
`\theta=135^(\circ)` ,
`r=4`, we get;

`A=(135^(\circ))/(360^(\circ)) * (3.14) (4)^(2)`

`A=(3)/(8) * (3.14) (16)`

`A=(150.72)/(8)`

`A=18.84 \ cm^2`

Thus, the area of the sector is 18.84 cm²