A circle is inscribed in a square of area 784 square cm.Find the area of the
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Answer:
area of square=784 cm^2. side =√784 =28 cm.
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• Correct Question
A circle is inscribed in a square of area 784 square cm. Find the area of the circle.
• Given
- Area of square = 784 cm²
- A circle is inscribed into the square with the area 784 cm²
• To find
- Area of circle
• Solution
• Area of square = side × side
⇒ 784 = side²
⇒ ± √784 Reject - ve = side
⇒ Side = 28 cm
- Side of square = 28 cm
Side of the square = Diameter of the square (The circle is inscribed into the square)
Diameter of circle = 28 cm
• Radius = Diameter/2
⇒ 28/2
⇒ 14 cm
- Radius of circle = 14 cm
Area of circle = πr²
⇒ 22/7 × 14 × 14
⇒ 616 cm²
- Area of circle = 616 cm²
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