# CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 11 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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.

**Answer**:

In right triangle ADC, [Pythagoras theorem]

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