Question

a square of side 14cm is cut from a quadrant OPBQ of a circle of a circle with centre O. Find the area of the shaded region

Answer 1

Answer:

112 cm²

Step-by-step explanation:

The diagonal of the square is the radius.

Find the length of the diagonal (which is also the radius):

a² + b² = c²

c² = 14² + 14²

c² = 392

c = 14√2 cm

Find the area of the quadrant:

Area = 1/4 πr²

Area = 1/4 π(14√2)²

Area = 98π

Area = 308 cm²

Find the area of the square:

Area of the square = Length x Length

Area of the square = 14 x 14

Area of the square = 196 cm²

Find the shaded region:

Shaded Region = 308 - 196

Shaded Region = 112 cm²

Answer:  112 cm²