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marusya05 [52]
3 years ago
12

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

ng expressions would help him find the area of the shaded sector?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer: option D is the correct answer

Step-by-step explanation:

The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.

Area of a sector is expressed as

#/360 × π × r^2 and # is in degrees

Therefore, area of the shaded portion or sector = 45/360 × π × 4^2

= 45/360 × 16π

= 45/360 (16π)

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\qquad\qquad\huge\underline{{\sf Answer}}♨

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