If the radius of a circle is doubled what happens to its area?
A
Doubles
B
Triples
C
Quadruples
D
Remains same
Correct Answer: Option C — Quadruples
Explanation:
Area = πr². If radius becomes 2r: new area = π(2r)² = 4πr² which is 4 times the original. When linear dimensions scale by factor k areas sca...
Area = πr². If radius becomes 2r: new area = π(2r)² = 4πr² which is 4 times the original. When linear dimensions scale by factor k areas scale by k² and volumes by k³. This scaling relationship is tested in geometry problems involving similar figures and scale models in competitive exams.