10th Class Mathematics Areas Related to Circles Question Bank Case Based (MCQs) - Areas Related to Circles

The ratio of area of slice to the area of remaining pizza in (l) is:

A) \[5:1\]

B) \[1:5\]

C) \[2:5\]

D) \[5:3\]

Correct Answer: B

Solution :

The angle subtended by a slice of pizza (l) at the centre is 600.

Therefore, angle subtended by the remaining pizza at the centre is \[300{}^\circ \].

\[\therefore \]Ratio of areas of minor sector and major sector

\[=\frac{60}{360}\times \pi \times {{(6)}^{2}}:\frac{300}{360}\times \pi \times {{(6)}^{2}}\]

\[=60:300=1:5\]

So, option [b] is correct.