What is the area of a section with a radius of 4.2 cm and a central angle of 60°, if π is approximated as 22/7?
4.2 سینٹی میٹر کے رداس اور 60° کے مرکزی زاویہ والے حصے کا رقبہ کیا ہے، اگر π کا تخمینہ 22/7 ہے؟
- 9.24 cm²
- 8.15 cm²
- 10.48 cm²
- 6.78 cm²
Explanation
To find the area of a section with a central angle of 60° and a radius of 4.2 cm, we can use the formula for the area of a sector of a circle:
Area of sector = (θ/360) * π * r^2
Where:
θ is the central angle in degrees
π is approximately 22/7
r is the radius of the circle
Given:
θ = 60°
π ≈ 22/7
r = 4.2 cm
Substituting the values into the formula:
Area of sector = (60/360) * (22/7) * (4.2)^2
= (1/6) * (22/7) * 17.64
≈ (1/6) * 22 * 2.52
≈ (11/3) * 2.52
≈ 9.24 cm²
Therefore, the area of the sector is approximately 9.24 square centimeters.
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