From a circle with the radius of 15.75 cm, a sector with the arc length of 11…

2024

From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm2) of this sector.

  1. A.

    86.525

  2. B.

    86.625

  3. C.

    86.875

  4. D.

    86.125

Show answer & explanation

Correct answer: B

To find the area of a sector when given its arc length and radius, we use the direct formula: Area = (1/2) × r × l.
Here, the radius (r) is 15.75 cm and the arc length (l) is 11 cm.
Substituting these values into the formula gives: Area = (1/2) × 15.75 × 11.
First, calculate the product of the radius and arc length: 15.75 × 11 = 173.25.
Then, divide by 2 to find the area: 173.25 / 2 = 86.625 cm².",

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