Math, asked by daniii29, 4 months ago

A circle is inscribed in a square of area 784 square cm.Find the area of the

Answers

Answered by kashish212
1

Answer:

area of square=784 cm^2. side =√784 =28 cm.

here your answer is

Answered by AestheticSoul
6

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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