Question

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

A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2

Answer 1

Option A. 283 cm²

Explanation:

to find the area of the shaded sector, we use the formula:

`\frac{\text{angle given}}{360^\circ}* \text{area of the circle}`

where area of the circle = πr²

∴ for the given circle,

`\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} * \pi r^2`

=
`(100)/(360)* 3.14* 18* 18`

=
`(100)/(360)* 1017.36`

= 282.6

≈ 283 cm²

The approximate area of the shaded sector is 283 cm².