Question

Four square circles are removed from a square with sides of 10 cm. Find the shaded surface

Answer 1

Answer:

21.5 cm^2

Step-by-step explanation:

Given,

      Length of sides of square is 10 cm.

Given parts of circle are 1 / 4 of circle. Here, radius of all the circles is same, and a single side of square contains two radii of same length so, length of radii of those circles should ( side of square ) / 2 i.e. 10 cm / 2 i.e. 5 cm.

Therefore,

⇒ Area of shaded region = area of square - area of 4 ( 1 / 4 ) of circles

             ⇒ ( 10 cm )^2 - area of circle with radius 5 cm

             ⇒ 100 cm^2 - π( 5 cm )^2

             ⇒ 100 cm^2 - 25π cm^2

             ⇒ 100 cm^2 - 78.5 cm^2

             ⇒ 21 .5 cm^2