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.

Algebra ->  Circles -> 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.       Log On


   

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) About Me  (Show Source):
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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 = pi%2A15%5E2
A = 706.858 sq/mi
;
let a = the central angle of the sector with 349 sq/mi
:
a%2F360 = 349%2F706.858
cross multiply
706.858a = 360 * 349
a = 125640%2F706.858
a = 177.74 degrees