If the length of the 45 degrees region of this circle is 10 inches, what is the radius of the circle
Answers
Answer: 1.6 inches
Step-by-step explanation:
Answer:

Central angle
deg
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Radius
m
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Diameter
m
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Sector area (A)
m²
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Chord length (c)
m
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Arc length
Arc length (L)
m
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Arc Length Calculator
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Our arc length calculator can calculate the length of an arc of a circle and the area of a sector.
Table of contents:
Arc length formula
Area of a sector of a circle
How to find the length of an arc and sector area: an example
FAQ
This arc length calculator is a tool that can calculate the length of an arc and the area of a circle sector. In this article, we explain the arc length formula in detail and provide you with a step-by-step instruction of how to find the arc length. You will also learn the equation for sector area.
Arc length formula

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:
L / Θ = C / 2π
As circumference C = 2πr,
L / Θ = 2πr / 2π
L / Θ = r
Step-by-step explanation:
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