Question

In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following best approximates the area of the shaded region? Note: The figure is not drawn to scale. O 14.45 O 16.62 O 25.99 O 81.65 O 145.27

Answer 1

A circle is a figure bounded by a curved side which is referred to as circumference. Thus the area of the shaded region is option D. 81.65.

A circle is a figure bounded by a curved side which is referred to as circumference. Some of its parts are radius, diameter, sector, arc, etc.

The area of a circle can be determined by the given expression:

Area = π$r^{2}$

where r is the radius of the circle and π = $\frac{22}{7}$

So, the area of the shaded region can be determined as:

Area of the shaded region = area of the larger circle - area of the smaller circle

Area of the shaded region = π$(6.8)^{2}$ - π$(4.5)^{2}$

                                            = π (46.24 - 20.25)

                                            = $\frac{22}{7}$ x 25.99

                                            = $\frac{571.78}{7}$

Area of the shaded region = 81.683

Thus the appropriate answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

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