Mensuration Ques 36

Question

A slice from a circular pizza of diameter 14 inches is cut in such a way, that the slice forms a sector of angle measuring $45^{\circ}$. Find the measure of area of the cut slice of the pizza.(in square inches)

(1) 17.5

(2) 18.25

(3) 19.25

(4) 19.75

(5) 17.75

(IBPS Specialist Officer CWE (Prelim Exam) 31.01.2019)

Show Answer

Correct Answer: (3)

Solution: (3)

Radius of the sector $=7$ inches

Required area $=\frac{\theta}{360} \times \pi r^{2}$ $=\frac{45}{360} \times \frac{22}{7} \times 7 \times 7$

$=\frac{77}{4}=19.25$ sq. inches