Asked by Joseph
Find the area of a sector of a circle of radius 14cm which subtend an angle 280
Answers
Answered by
Bosnian
Area of a circle = r² π
Area of a sector of a circle = r² π ∙ θ / 360°
In this case:
A = r² π ∙ 280 / 360 = 14² π ∙ 280 / 360 =
196 π ∙ 40 ∙ 7 / 40 ∙ 9 = 196 π ∙ 7 / 9 = 1372 π / 9 =
1372 ∙ 3.1416 / 9 = 4310.2752 / 9 = 478.91946 ≈ 479 cm²
≈ means approximately equal
Area of a sector of a circle = r² π ∙ θ / 360°
In this case:
A = r² π ∙ 280 / 360 = 14² π ∙ 280 / 360 =
196 π ∙ 40 ∙ 7 / 40 ∙ 9 = 196 π ∙ 7 / 9 = 1372 π / 9 =
1372 ∙ 3.1416 / 9 = 4310.2752 / 9 = 478.91946 ≈ 479 cm²
≈ means approximately equal
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