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.

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Answer:

In right triangle ADC, [Pythagoras theorem]

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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