SOLUTION: A circle has a radius of 5.5mm. A sector of the circle has a central angle of 4.3 radians. Find the area of the sector. Do not round any intermediate computations. Round your

Algebra ->  Trigonometry-basics -> SOLUTION: A circle has a radius of 5.5mm. A sector of the circle has a central angle of 4.3 radians. Find the area of the sector. Do not round any intermediate computations. Round your       Log On


   



Question 855366: A circle has a radius of 5.5mm. A sector of the circle has a central angle of 4.3 radians. Find the area of the sector.
Do not round any intermediate computations. Round your answer to the nearest tenth.
%281%2F2%29%2A5.5%5E2%2A4.3=65.0375
to the nearest tenth 65.0
is this right?

Found 2 solutions by Alan3354, fcabanski:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A circle has a radius of 5.5mm. A sector of the circle has a central angle of 4.3 radians. Find the area of the sector.
Do not round any intermediate computations. Round your answer to the nearest tenth.
%281%2F2%29%2A5.5%5E2%2A4.3=65.0375
to the nearest tenth 65.0
is this right?
===================
Area of the circle = pi*r^2
Area of the sector = (4.3/2pi)*pi*r^2 = 4.3*r^2/2
= 65.0375 sq mms

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
That is correct. The area of a circle is pi%2Ar%5E2. To find the portion of the circle's area within a sector, divide the sector's central angle by 360 degrees or by 2pi.


%284.3+%2A+pi%2A%285.5%29%5E2%29%2F%282%2Api%29+=+4.3+%2A+%285.5%29%5E2+%2F+2