A circle is inside a square. The side of the square is 7 cm. Find the area of circle.
Answers
Answer:
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Step-by-step explanation:
Side of the square = 7 cm
Therefore ,
Diameter of circle is equal to side of square
So r = 7/2
Area of circle = πr^2
(22/7)×(7/2)×(7/2)
11× (7/2)
77/2
38.5 CM square
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Solution :-
By observing the diagram given in the picture , we can say that half of side of square equal to the radius of circle
∵ By drawing a square of side = half of side the given square = radius of circle , and as we know that all sides of square are equal = radius . For diagram by this information kindly see the attachment .
In mathematical form ,
• Side of square ÷ 2 = Radius of circle
→ Radius = 7/2
→ Radius = 3.5 cm
Now , finding area of circle .
Area of circle = πr²
⇒ Area of circle = π(3.5)²
⇒ Area of circle = 22/7 × 3.5 × 3.5
⇒ Area of circle = 22/2 × 3.5
⇒ Area of circle = 11 × 3.5
⇒ Area of circle = 38.5 cm²