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Levart [38]
3 years ago
11

A circle has central angle measuring 2pi/5 radians that intersects an arc of length 20cm what is the length of the radius of the

circle round your answer to the nearest whole cm use 3.14 for the pi
Mathematics
1 answer:
Alik [6]3 years ago
8 0
<h2>Answer:</h2><h2>The radius of the circle = 15.92 cm</h2>

Step-by-step explanation:

Given, the central angle of the arc = \frac{2\pi }{5} = 1.256

Length of the arc = 20 cm

Radius of the circle = ?

Radius of the circle = \frac{arc length}{central angle} = \frac{20}{1.256} = 15.92 cm

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<h2>Equations of Circles</h2>

Generally, you'd see the equation of a circle organized in the following format:

(x-h)^2+(y-k)^2=r^2

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  • r is the radius

To determine the equation given the center and the radius:

  1. Plug both pieces of information into the general equation
  2. Simplify

<h2>Solving the Question</h2>

We're given:

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  • Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

(x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801

<h2>Answer</h2>

(x+1)^2+(y+8)^2=9801

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