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Find the area of the sector. Leave your answer in terms of pi.

547km²
361 km²
6
27 km²
66 km²
135°
12 km

Find the area of the sector. Leave your answer in terms of pi. 547km² 361 km² 6 27 km-example-1
User Alex Rock
by
7.2k points

1 Answer

6 votes

Answer:

A = 54π Km²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
(135)/(360) ( r is the radius )

= π × 12² ×
(3)/(8)

= 144π ×
(3)/(8) ( cancel 144 and 8 by 8 )

= 18π × 3

= 54π Km²

User Sourabh Agrawal
by
8.4k points