Question

From a square sheet of side 10 cm four circular corner of radius 2 cm is removed.find the area
of remaining sheet.​

Answer 1

Step-by-step explanation:

side of square=10cm.

area of square=side^2

area of the given square=10×10cm^2.

now,

each vertice is a sector with angle of 90°.

Therefore area of sector=(90/360)×(22/7)×2×2.

Similarly area of 4 sectors will be ,

(1/4)×4×(22/7)×2×2=88/7cm^2

Therefore, area of remainingsheet =100-12.57

=87.43cm^2