Question

Given below are two statements: Statement I : The ratio of the circumference of two circles is 3:4, then the ratio of their area is 9: 16. Statement II : If the circumference and the area of a circle are numerical equal, then the diameter is equal to 4. In the light of the above statements, choose the correct answer from the options given below.

A.
Both Statement I and Statement II are true
B.
Both Statement I and Statement II are false
C.
Statement I is true but Statement II is false
D.
Statement I is false but Statement II is true

Accepted Answer

A. Statement I: $C_1/C_2 = r_1/r_2 = 3/4 \implies A_1/A_2 = (r_1/r_2)^2 = 9/16$. True. Statement II: $2\pi r = \pi r^2 \implies r = 2 \implies 	ext{diameter } d = 2r = 4$. True.

Statements on Circles

Explanation

Practise this under exam conditions