The circumference of the two circles is 264 m and 308 m respectively. What is the difference between the area of the larger circle and the smaller circle?
Answer & explanation
Correct answer: option 1
2\(\Pi \)R1 = 264
= R1 = (264 x 7)/(2 x 22)
= R1 = 42 m
= 2\(\Pi \)R2 = 308
= R2 = (308 x 7)/(2 x 22)
= R2 = 49 m
Therefore, required difference = \(\Pi \) x (\( {R2 }^{ 2} \) - \( {R1 }^{ 2} \))
= \(\Pi \) x (R2 x R1)(R2 - R1)
= \(\frac{22}{7}\) x 91 x 7 = 2002\( {m }^{2 } \)
Therefore, required difference = 2002\( {m }^{2 } \).