Chapter 6: Q. 94 (page 366)

Find the area of the sector of a circle of radius $3$ centimeters formed by an angle of $60^{\circ}$ . Round the answer to two decimal places.

Short Answer

Expert verified

The area of the sector is $4.71 c m^{2}$

Step by step solution

Step 1. Given information

A circle with radius $3$ cm makes an area with the angle $60^{\circ}$

Step 2. Used formulae

The area of a circle with radius $r$ and angle $θ$ is $A = \frac{1}{2} r^{2} θ$

Step 3. Calculation

$60^{\circ} = 60 \cdot \frac{π}{180} = \frac{π}{3}$ radians

For the given problem, we substitute and the area is obtained as $A = \frac{1}{2} \cdot 3^{2} \cdot \frac{π}{3} = \frac{3 π}{2} \approx 4.7124 c m^{2}$

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Find the area of the sector of a circle of radius $3$ centimeters formed by an angle of $60^{\circ}$ . Round the answer to two decimal places.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Used formulae

Step 3. Calculation

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Short Answer

Step by step solution

Step 1. Given information

Step 2. Used formulae

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

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Find the area of the sector of a circle of radius $3$ centimeters formed by an angle of $60^{\circ}$ . Round the answer to two decimal places.