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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.

OAB is a sector of a circle as shown below. Work out the area of OAB. Give your answer-example-1
User Cching
by
7.7k points

2 Answers

2 votes

Answer:442.9493333......

Explanation:

formula=∅÷360°×πr²

96°÷360°×3.14×23²

=442.9493333.....

User H H
by
8.2k points
4 votes

Answer:

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 )

User Jess Patton
by
8.2k points