Question

Circle M has a radius of 7.0 cm. The shortest distance between P and Q on the

circle is 7.3 cm. What is the approximate area of the shaded portion of circle M? Please explain :)

Answer 1

C.

Explanation:

I did the test.

Answer 2

Answer: C.
`25.6\ cm^2`

Explanation:

Given: Circle M has a radius = 7.0 cm.

The shortest distance between P and Q on the circle (arc length)= 7.3 cm.

Now, the central angle 'x' is given by :-

`x=(l)/(r)\\\\\Rightarrow\ x=(7.3)/(7)=1.04285714286\ radian`

Now, the area of sector is given by :-

`A=(1)/(2)r^2x\\\\\rightarrow\ A=(1)/(2)(7)^2(1.04285714286)\\\\\Rightarrow\ =25.55\approx25.6\ cm^2`