The radius of a circle is 3 miles. What is the length of a 180° arc? -3 mi 180° Give the exact answer in simplest form.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.4: Circumference And Area Of A Circle
Problem 1E
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The formula for the length of an arc is
360
where is the arc length, C is the circumference, and m is the measure of the arc in degrees.
The arc's length depends on the arc's measure and the circle's circumference. You already
know that the arc's measure is 135°, so find the circle's circumference.
First, find the circumference.
C = 2π
=
Plug in r = 3
= бл
Multiply
The circumference is 67 centimeters.
Now, find the length of the arc.
171
{ = C.
360
27(3)
135
360
Plug in C = 6 and m = 135
Multiply and simplify
= 6.7.
4
The length of the arc is
centimeters.
Transcribed Image Text:The formula for the length of an arc is 360 where is the arc length, C is the circumference, and m is the measure of the arc in degrees. The arc's length depends on the arc's measure and the circle's circumference. You already know that the arc's measure is 135°, so find the circle's circumference. First, find the circumference. C = 2π = Plug in r = 3 = бл Multiply The circumference is 67 centimeters. Now, find the length of the arc. 171 { = C. 360 27(3) 135 360 Plug in C = 6 and m = 135 Multiply and simplify = 6.7. 4 The length of the arc is centimeters.
The radius of a circle is 3 miles. What is the length of a 180° arc?
r=3 mi
180°
Give the exact answer in simplest form.
miles
Transcribed Image Text:The radius of a circle is 3 miles. What is the length of a 180° arc? r=3 mi 180° Give the exact answer in simplest form. miles
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