Question

OAB is a sector of a circle as shown below.

Work out the area of OAB.
Give your answer in cm² to 1 d.p.

Answer 1

Answer:442.9493333......

Explanation:

formula=∅÷360°×πr²

96°÷360°×3.14×23²

=442.9493333.....

Answer 2

A ≈ 443.2 cm²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

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

= π × 23² ×
`(4)/(15)`

= 529π ×
`(4)/(15)`

=
`(529(4)\pi )/(15)`

≈ 443.2 cm² ( to 1 decimal place )