If the angle of a minor sector is 60° , what is the formula to find the area of the major sector with radius 'r'?
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Answer:
area of minor sector = theta / 360° * pi*r^2
hence area of major sector = area of the respective circle- area of minor sector
ie , (pi*r^2) - theta / 360° * pi*r^2
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Answered by
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Step-by-step explanation:
Area of sector = A /360×πr². .......A= theta
Area of sector = 60/360 ×3.14×10×10
= 1/6×314
= 52.33cm²
Area of circle= πr²
= 3.14×10×10
= 314 cm²
Area of minor sector= area of sector = 52.33 cm²
Area of major sector= area of circle- area of minor arc
= 314-52.33
=261.67cm²
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