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

User Amprantino
by
8.5k points

2 Answers

5 votes

Answer:

  • 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.

User Scott Roepnack
by
9.0k points
4 votes

Answer:

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 )

User Moschlar
by
7.8k points