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Question

ScanSolve AI Tutor · Accepted Answer

The video shows a problem involving the area of a sector of a circle. The formula for the area of a sector is: Area = (θ/360°) × πr² where θ is the central angle in degrees and r is the radius. Step 1: Identify the given values from the video. The radius (r) is 10 cm. The central angle (θ) is 120°. Step 2: Substitute the values into the formula. Area = (120°/360°) × π(10 cm)² Step 3: Simplify the fraction. (120°/360°) = 1/3 Step 4: Calculate the square of the radius. (10 cm)² = 100 cm² Step 5: Substitute the simplified values back into the formula. Area = 1/3 × π × 100 cm² Step 6: Combine the terms to find the final area. Area = (100π)/(3) cm² The area of the sector is (100π)/(3) cm².

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Answer

Step-by-step solution

Identify the given values from the video.

Substitute the values into the formula.

Simplify the fraction.

Calculate the square of the radius.

Substitute the simplified values back into the formula.

Combine the terms to find the final area.

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