Answer: C. [tex]25.6\ cm^2 [/tex]
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 :-
[tex]x=\dfrac{l}{r}\\\\\Rightarrow\ x=\dfrac{7.3}{7}=1.04285714286\ radian[/tex]
Now, the area of sector is given by :-
[tex]A=\dfrac{1}{2}r^2x\\\\\rightarrow\ A=\dfrac{1}{2}(7)^2(1.04285714286)\\\\\Rightarrow\ =25.55\approx25.6\ cm^2 [/tex]
