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Chapter 6: Q. 49 (page 354)

Find the length of the arc subtended by a central angle of 30掳 on a circle of radius 2 feet. What is the area of the sector?

Short Answer

Expert verified

The area is1.05ft2

Step by step solution

01

Given information

Given central angle of30鈭�and radius of2ft

02

Use the formula and calculate

Calculating, we get

s=r胃s=(2ft)30掳路蟺180掳s=蟺3fts=1.05ft

03

Use the formula for area and calculate

Calculating, we get

A=12(2ft)230掳路蟺180掳A=蟺3ft2A=1.05ft2

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Most popular questions from this chapter

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

5蟺6

Convert angle in radian to degree-

5蟺6

In Problems 4-6convert each angle in radians to degrees.

5.9蟺2

Convert each angle in degree to radians. express your answer as a multiple of 蟺.

-225掳

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

胃=13radian, s=2 feet , r=?
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