Chapter 11.3, Problem 6CYU

To determine

To calculate: The area of the shaded sector (minor) LMK with angle 92° of the given circle with radius 7 cm.

Answer to Problem 6CYU

The area of the shaded sector (minor) LMK is = 39.4 sq cm (nearest to tenth).

Explanation of Solution

Given information:

A circle with radius 7 cm and a minor sector LMK with angle 92°.

Calculation:

To calculate this shaded area, use the result

1. Area of the sector with radius r and angle θ is given by

  $\frac{\theta }{360}\times \pi r^2$

Now area of the minor sector LMK

= $\frac{\theta }{360}\times \pi r^2$

= $\frac{92}{360}\times \frac{22}{7}\times 7\times 7$

= $\frac{14168}{360}=39.3555=39.4$ sq cm (nearest to tenth)