Question

calculate the area of the major sector of a circle which subtends an angle of 130° at the centre and having radius 14cm ​

Answer 1

• 222 cm²

Explanation:

Area of the sector is calculated by using the formula :

`\rm Area = ( \theta)/(360 \degree) * \pi {r}^(2)`

Here
`\sf \theta` donates the central angle measured in degrees i.e 130° and r denotes radius of the circle

Substitute the values :

`Area = (130)/(360) * \pi {(14)}^(2)`

`Area = (130)/(360) * 3.14 * 196`

`Area = 0.362 *3.14 * 196`

`Area = 1.136* 196`

`{ \pink{ \underline{ \underline{Area \approx222 \: {cm}^(2) }}}}`

Hence The Area of the major sector of the circle is 222 cm² approximately.

Answer 2

area ≈ 222.4 cm²

Explanation:

the area of the sector of a circle is calculated as

area = area of circle × fraction of circle

= πr² ×
`(130)/(360)` ( r is the radius )

= π × 14² ×
`(13)/(36)`

= 196π ×
`(13)/(36)`

=
`(2548\pi )/(36)`

≈ 222.4 cm² ( to the nearest tenth )