Chapter 6: Q. 49 (page 354)

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

Short Answer

Expert verified

The area is $1.05 f t^{2}$

Step by step solution

Given information

Given central angle of $30^{\circ}$ and radius of $2 f t$

Use the formula and calculate

Calculating, we get

$s = r θ s = (2 ft) (30 ° \cdot \frac{π}{180 °}) s = \frac{π}{3} ft s = 1.05 f t$

Use the formula for area and calculate

Calculating, we get

$A = \frac{1}{2} (2 ft)^{2} (30 ° \cdot \frac{π}{180 °}) A = \frac{π}{3} {ft}^{2} A = 1.05 f t^{2}$

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

Short Answer

Step by step solution

Given information

Use the formula and calculate

Use the formula for area and calculate

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

Short Answer

Step by step solution

Given information

Use the formula and calculate

Use the formula for area and calculate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Pure Maths

Statistics

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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