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Leya [2.2K]
3 years ago
10

What is the area of a shaded segment with an area of 12 and an arch angle of 60

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
<span>Let A = the area of the whole circle
Let S = the area of the shaded portion</span><span>
The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
 S = (60/360) </span>× <span>A = ( 1 / 6 ) </span>× 12 = 2 ;
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Find the area of △ABC with side lengths b = 6 and c = 17, and included angle A = 135∘. Round your answer to the nearest tenth
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Answer:

<u>Area = 36.1 sq. units</u>

Step-by-step explanation:

We will use the "included angle area" formula for a triangle to solve this problem.

The formula is:

A=\frac{1}{2}abSinC

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a and b are the two sides given

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From the problem, we can write:

the two sides are 6 & 17, so that will be "a" and "b" of the formula

the included angle is 135, so that will be "C" of the formula

Substituting, we find the answer:

A=\frac{1}{2}abSinC\\A=\frac{1}{2}(6)(17)Sin(135)\\A=36.06

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Step-by-step explanation:

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