Find the area of the sector whose radius and central angle are 5 cm and 30° respectively. (Round your answer to the nearest whole number and use 3.14 for the value of π.) Answer:Question 6
Question
Find the area of the sector whose radius and central angle are 5 cm and 30° respectively. (Round your answer to the nearest whole number and use 3.14 for the value of π.) Answer:Question 6
Solution
To find the area of a sector, you can use the formula:
Area of sector = (central angle/360) * π * r²
Given:
- Central angle = 30°
- Radius (r) = 5 cm
- π = 3.14
Substitute the given values into the formula:
Area of sector = (30/360) * 3.14 * 5²
Simplify the equation:
Area of sector = (1/12) * 3.14 * 25
Area of sector = 6.575 cm²
Rounding to the nearest whole number, the area of the sector is approximately 7 cm².
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