Question

13.The sum of the areas of major and minor sectors of a circle is equal to the ____________________________.

circumference of the circle

area of the circle

both a and b

none of these

​

Answer 1

Answer:

A circle is defined as the locus of all the points that are equidistant from the center.

Now, a quadrant is one-fourth section of a circle which is obtained when a circle is divided evenly into four sections or rather 4 quadrants by a set of two

lines which are perpendicular to each other.

Each of the four sections is called a quadrant.

When four such quadrants are joined, the structure that we get is nothing but a circle.

Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get,

Area of a quadrant, A=

4

1

πr

2

Therefore option B is the answer.

Answer 2

Step-by-step explanation:

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• Sum of the arcs of major and minor sectors of a circle is equal to circumference of the circle. 

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