# CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 17

Get unlimited access to the best preparation resource for CBSE : fully solved questions with step-by-step explanation- practice your way to success.

**Question 5:**

The perimeter of a sector of a circle of radius is .Calculate:

(i) The length of arc of the sector in .

(ii) The area of the sector in correct to the nearest

**Answer:**

Let be the centre of a circle of radius and be the given sector with perimeter .

Then

Now,

(i) Length of arc

(ii) Area of sector

Area of sector correct to nearest

**Question 6:**

Find the area of shaded region in the given figure where ABCD is a square of side and semi-circles are drawn with each side of square as diameter.

**Answer:**

Area of region area of ABCD area of semicircles of each radius

Similarly, area of III area of IV

Area of region I, II, III, and IV

Thus, area of shaded region Area ABCD – Area of (I, II, III, IV)

**Question 7:**

Find the area of the shaded region where a circular arc of radius 6cm has been drawn with vertex O of an equilateral triangle OAB of side as centre.

**Answer:**

Area of shaded region

Area of major sector Area of equilateral