if area of Quadrant of a circle is 38.5 cm(square) then find its diameter (use π=22/7)
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14 cm
Step-by-step explanation:
We know that:
Area of a Quadrant =1/4 area of the whole circle.
Therefore:
Area of a circle = πr²
Area of a quadrant = 1/4 x πr²
Given that:
Area of the quadrant = 38.5 cm²
Find the radius of the circle:
1/4 x πr² = 38.5 cm²
πr² = 154 cm²
r² = 49
r = √49 = 7 cm
Find the diameter:
Diameter = 2 x radius
Diameter = 2 x 7 = 14 cm
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