SOLUTION: A sector of a circle of radius 15 mi has an area of 349 mi^2. Find the central angle of the sector. Give your answer correct to 2 decimal places.
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Question 579450: A sector of a circle of radius 15 mi has an area of 349 mi^2. Find the central angle of the sector. Give your answer correct to 2 decimal places.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A sector of a circle of radius 15 mi has an area of 349 mi^2.
Find the central angle of the sector.
Give your answer correct to 2 decimal places.
:
Find the area of the whole circle
:
A =
A = 706.858 sq/mi
;
let a = the central angle of the sector with 349 sq/mi
:
=
cross multiply
706.858a = 360 * 349
a =
a = 177.74 degrees
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