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asambeis [7]
3 years ago
5

How to find the area of a segment of a circle if r=8 and central angle =120 degrees. Please explain clearly and thoroughly. Will

be giving thanks and brainliest.
Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
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The diameter can be obtained by the formula A = pi*r^2

First, multiply 0.50 * 100 to obtain the area of the ball, then simplify and solve for the radius. Doubling the radius would yield the diameter. This is shown below:

Area of the ball = 0.50 * 100 = 50 in^2
<span>A = pi*r^2
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r = 3.99 = approx. 4
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3 years ago
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Step-by-step explanation:

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Find the solution to the system of equations given below using substitution. PLEASE ANSWER QUICKLY
irinina [24]

Answer:

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Step-by-step explanation:

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Substitute the value of y in equation 2

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4.2x - 16.43x = 27.2 - 88.35

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Answer:

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Step-by-step explanation:

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