Question

11. A square park has each side of 100 m. At each corner of the park,
there is a flower bed in the form of a quadrant of radius 14 m as
shown in the figure. Find the area of the remaining park.​

Answer 1

Answer:

Given,

Side of square = 100cm

Radius of quadrant, r = 14cm

Angle measure, tita = 90° (angle of each corner of square is 90°)

Step-by-step explanation:

Area of square = (side)²

=(100)²

=10000 cm²

Area of each quadrant = 1/4 * pie * r²

= 1/4 * 22/7 * 14 *14

= 154cm²

Area of remaining part of square = Area of square - 4 * Area of each quadrant

= 10000 - 4 * 154

= 10000 - 616

= 9384 cm²