Question

What is the approximate area of the shaded sector in the circle shown below?

Answer 1

`A \approx 282.743\,cm^(2)`

Explanation:

The approximate area of the shaded sector is:

`A = (100)/(360)\cdot \pi\cdot (18\,cm)^(2)`

`A \approx 282.743\,cm^(2)`

Answer 2

A; The approximate area of the shaded sector is 283
`cm^(2)`

Explanation:

In this question, we are tasked with calculating the area of the sector of a circle that subtends a particular angle at the center of the circle

To calculate this, we use the formula for the area of a sector.

Mathematically,

Area of the shaded sector = θ/360 × π ×
`r^(2)`

In this question, The angle subtended by the sector ;θ = 100° and radius of the circle r = 18 cm

Area = 100/360 × 22/7 ×
`18^(2)` = 712,800/2520 = 282.86 which is approximately 283
`cm^(2)`