if a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is the area, in cm2, of the sector? round your answer to the nearest tenth.

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03-05-2018
Mathematics

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if a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is the area, in cm2, of the sector? round your answer to the nearest tenth.

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carlosego carlosego · Answer 1 · 2018-05-12T18:07:30+02:00

carlosego carlosego

12-05-2018

For this case the area of the sector is given by:
A = (S '/ S) * (pi) * (r ^ 2)
Where,
S '/ S = relation of arcs
r: radius of the circle
Substituting values we have:
A = (7.4/360) * (3.14) * (13 ^ 2)
A = 10.9080111
Rounding off we have:
A = 10.9 cm^2
Answer:
the area of sector is:
A = 10.9 cm^2

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