CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 11
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Question 29:
Calculate the area of the designed region in figure common between the two quadrants of circles of radius each.

Calculate the Area of the Designed
Answer:
In right triangle ADC, [Pythagoras theorem]

Calculate the Area of the Designed Region
Draw .
Then
In right triangle AMB,
[Pythagoras theorem]
Half Area of shaded region
Area of designed region
Question 30:
Find the circumference of a circle of diameter .
Answer:
Circumference
Question 31:
The diameter of a circular pond is . It is surrounded by a path of width . Find the area of the path.
Answer:
Diameter of pond
Width
Outer radius
Now,
Area of path
Question 32:
Find the area of a sector of a circle with radius , if angle of the sector is .
Answer:
Diameter of pond
Width
Outer radius
Now,
Area of path