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

Answer: C. $25.6\ cm^2$

Step-by-step 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 :-

$x=\dfrac{l}{r}\\\\\Rightarrow\ x=\dfrac{7.3}{7}=1.04285714286\ radian$

Now, the area of sector is given by :-

$A=\dfrac{1}{2}r^2x\\\\\rightarrow\ A=\dfrac{1}{2}(7)^2(1.04285714286)\\\\\Rightarrow\ =25.55\approx25.6\ cm^2$

Answer 2

Answer:

C.

Step-by-step explanation:

I did the test.