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.
Answer: B. 86.625 — 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…
- A.
86.525
- B.
86.625
- C.
86.875
- 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.",