Question

Find the area of the sector.

10 km
45degrees
A) 39.3 km
C) 33.5 km
B) 1410 km
D) 7.9 km

Answer 1

Answer is option A) 39.3 km

Explanation:

`area \: of \: sector = (theta)/(360) * \pi \: {r}^(2) \\ here \: radius \: is \: 10 \: km \: and \: \\ theta \: = 45 \: degrees \\ on \: substituting \: the \: values \: in \: the \: formula \\ area \: of \: sector = (45)/(360) * \pi \: {10}^(2) \\ = 0.125 * 100\pi \\ = 39.26 \: km \\ then \: area \: of \: sector \: is \\ approximately \: equal \: to \: 39.3 \: km`

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