CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 5
Get unlimited access to the best preparation resource for CBSE : fully solved questions with step-by-step explanation- practice your way to success.
Question 5:
Find the area of a sector of a circle with radius , if angle of the sector is .
Answer:
Here, and
Area of sector
Question 6:
Find the area of a quadrant of a circle whose circumference is .
Answer:
Given,
We know that for quadrant of circle,
Area of quadrant
Question 7:
The length of the minute hand of a clock is . Find the area swept by the minute hand in minutes.
Answer:
Here, and
Area swept
Question 8:
A chord of a circle of radius 10 cm subtends a right angle at the center. Find the area of the corresponding: (i) minor segment, (ii) major segment. (Use )
Answer:
(i) Here,
Area of minor sector
Area of
Area of minor segment = Area of minor sector Area of
(ii) For major sector, radius and
Area of major sector
Question 9:
A horse is tied to a peg at one corner of a square shaped grass field of side by means of a long rope (see figure). Find:
(i) The area of that part of the field in which the horse can graze.
(ii) The increase in the grazing area if the rope were long instead of .

The Area of That Part of the Field
Answer:
(i) Area of quadrant with rope
(ii) Area of quadrant with rope
The increase in grazing area