question_answer

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)

A)  17.5                            

B)  18.25

C)  19.25  

D)  19.75

E)  17.75

Correct Answer: C

Solution :

  OA= OB = 7 inches \[\therefore \] Area of the sector OAB \[=\frac{45{}^\circ }{360{}^\circ }\times \pi {{r}^{2}}\] \[=\frac{22\times 7\times 7}{7\times 8}=19.25\]\[=\frac{22\times 7\times 7}{7\times 8}=19.25\]