Question

27. To form a circle of radius r, four minor sectors of equal measure are joined. Which of these options completes the sentence below?
The sum of the area of the four minor sectors is equal to the ___________
a) area of the semicircle of diameter 2 r
b) area of the circle of diameter 2 r.
c) circumference of the circle of radius r.
d) circumference of the circle of diameter r. ​

Answer 1

Step-by-step explanation:

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Answer 2

The sum of the area of the four minor sectors is equal to the b) area of the circle of diameter 2 r.

• Since the radius of circle mentioned in question is r, the diameter of that circle will be 2r.
• Moroever, area of 1 sector of circle = πr²*theta.
• Now, area of 4 sectors of circle = 4*πr²*theta
• The part 4*theta will become 360° which is equal to the angle of circle.
• Hence, sum of area of four sectors of circle will be πr².