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Chapter 6: Q. 5 (page 364)

If the radius of a circle is rand the length of the arc subtended by a central angle is also r, then the measure of the angle is 1_______.

Short Answer

Expert verified

The solution is radian .

Step by step solution

01

Step 1. Given information 

Radius of a circle is rand the length of the arc subtended by a central angle is also r.

02

Step 2. Calculation 

For a circle of radius 1, the rays of a central angle with measure 1radian subtend an arc of length 1. For a circle of radius 3the rays of a central angle with measure 1radian subtend an arc of length 3.

So, if radius of a circle is rand the length of the arc subtended by a central angle is also r, then the measure of the angle is 1radian.

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Most popular questions from this chapter

Convert each angle in degrees to radians. Express your answer as a multiple of π.

180°

In the problem,sdenotes the length of the arc of a circle of radius rsubtended by the central angle θ. Find the missing quantity. Round answers to three decimal places.

r=10meters, θ=12radian, s=?

Use a calculator to find the approximate value of each expression rounded to two decimal places.

sin28°

Approximating the Circumference of Earth Eratosthenes of Cyrene (276–195 bc) was a Greek scholar who lived and worked in Cyrene and Alexandria. One day while visiting in

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y=sec(2π3x)+2
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