CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)
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Question 10:
A brooch is made with silver wire in the form of a circle with diameter 35 mm. The wire is also used in making 5 diameters which divide the circle into 10 equal sectors as shown in figure. Find:
(i) the total length of the silver wire required.
(ii) the area of each sector of the brooch.
Answer:
(i) Diameter
Circumference
Length of 5 diameters
Total length of the silver wire required
(ii)
The area of each sector of the brooch
Question 11:
An umbrella has 8 ribs which are equally spaced (see figure) . Assuming umbrella to be a flat circle of radius , find the area between the two consecutive ribs of the umbrella.
Answer:
Here,
Area between two consecutive ribs of the umbrella
Question 12:
A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of . Find the total area cleaned at each sweep of the blades.
Answer:
Here,
The total area cleaned at each sweep of the blades
Question 13:
To warn ships for underwater rocks, a lighthouse spreads a red colored light over a sector of angle to a distance of . Find the area of the sea over which the ships are warned.
Answer:
Here,
The area of sea over which the ships are warned
Question 14:
Tick the correct answer in the following:
Area of a sector of angle (in degrees) of a circle with radius R is:
(a)
(b)
(c)
(d)
Answer: (D)
Given,
Area of sector