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

Calculate the Area of the Designed

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Answer:

In right triangle ADC, [Pythagoras theorem]

Calculate the area of the designed region

Calculate the Area of the Designed Region

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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