Question

13. A wire is in the form of a square of side 27.5 cm. It is straightened and bent into
the shape of a circle. Find the area of the circle.
​

Answer 1

Answer:

Step-by-step explanation:

Given side of square = 27.5 cm

Perimeter of square = circumference of circle ( as the same wire is used for square and circle both perimeters are equal )

⇒ 4 x side = 2 π r

⇒ 4 x 27.5 cm = 2 x 22/7 x r                   we know  ( π = 22/7)    

⇒ 110 cm = 44 / 7 x r

⇒ 110 cm x 7 / 44 = r

⇒ r = 17.5 cm

Area of circle = π r ²

                   = 22 / 7 x ( 17.5cm) ²

                  = 22 / 7 x 35 cm²

                  = 22 x 5 cm² = 110 cm²

Answer 2

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Answer:

Step-by-step explanation:

Given side of square = 27.5 cm

Perimeter of square = circumference of circle ( as the same wire is used for square and circle both perimeters are equal )

⇒ 4 x side = 2 π r

⇒ 4 x 27.5 cm = 2 x 22/7 x r                   we know  ( π = 22/7)    

⇒ 110 cm = 44 / 7 x r

⇒ 110 cm x 7 / 44 = r

⇒ r = 17.5 cm

Area of circle = π r ²

                   = 22 / 7 x ( 17.5cm) ²

                  = 22 / 7 x 35 cm²

                  = 22 x 5 cm² = 110 cm²

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