Question

P is in the shape of a circle
q is in the shape of a quarter circle of radius 20cm

Answer 1

Area of Q

• πr²/4
• π(20)²/4
• 100π cm²

Now

• 4(Area of P)=100π
• 4πr²=100π
• 4r²=100
• r²=25
• r=5cm

Answer 2

• 5 cm

Explanation:

Area of circle P with radius r:

• A = πr²

Area of quarter circle Q with radius 20 cm:

• A = 1/4π*20² = 100π

Area of Q is 4 times the area of P:

• 4*πr² = 100π
• r² = 25
• r = √25
• r = 5 cm