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Total Area of the shape = (r²)/2
r = OB
= (3.142 * (OB)²)/2
= 1.57 * (OB)²
Area of the two semicircles = 2(3.142 * r²)/2
= 3.142(r)²
r = (OB)/2
= (3.142) * (OB/2)²
= (3.142 * OB²)/4
= 0.785 * OB²
Area of circle with centre S = ()r²
r = (OB)/3 (Pythagoras Theorem, SR² = OS² + OR²)
= (3.142)*(OB/3)²
= (3.142 * OB²)/9
= 0.349 * OB²
Area ungrazed = (Total Area - (Area of two semicircles + Area of small circle)
= (1.57OB² - (0.785OB²+0.349OB²)
= 0.436OB²
%age Area Ungrazed = (0.436OB² * 100)/(1.57OB²)
= 27.7%
r = OB
= (3.142 * (OB)²)/2
= 1.57 * (OB)²
Area of the two semicircles = 2(3.142 * r²)/2
= 3.142(r)²
r = (OB)/2
= (3.142) * (OB/2)²
= (3.142 * OB²)/4
= 0.785 * OB²
Area of circle with centre S = ()r²
r = (OB)/3 (Pythagoras Theorem, SR² = OS² + OR²)
= (3.142)*(OB/3)²
= (3.142 * OB²)/9
= 0.349 * OB²
Area ungrazed = (Total Area - (Area of two semicircles + Area of small circle)
= (1.57OB² - (0.785OB²+0.349OB²)
= 0.436OB²
%age Area Ungrazed = (0.436OB² * 100)/(1.57OB²)
= 27.7%
rishilaugh:
thanks
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