In fig., ABC is a right-angled triangle, right-angled at A.  Semicircles are drawn on Ab, Ac and BC as diameters.  Find the area of the shaded region.

3

(a)

The area of an equilateral triangle in \(49\sqrt3\ cm^2\).  Taking each angular point as centre, circles are drawn with radius equal to half the length of the side of the triangle.  Find the area of triangle not included in the circles.\([Take\ \sqrt3=1.73]\)

3

(a)

Find the area of the shared region in figure, where a circular arc of radius 7 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm, as centre.

3

(a)

In given figure, an equilateral triangle has been inscribed in a circle of radius 6 cm.  Find the area of the shaded region.  \([Use\ \pi=3.14]\) 

3

(a)

The inner perimeter of a racetrack is 400 m and the outer perimeter is 488 m.  The length of each straight portion is 90 m.  Find the cost of developing the track at the rate of \(Rs. \ 12.50/m^2\)

3

(a)

In fig., PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region. [ Use \(\pi\) = 3.14]

3

(a)

In fig., from a rectangular region ABCD with AB=20 cm, a right triangle AED with AE=9 cm and DE = 12 cm, is cut off. ON the other end, taking BC as diameter; a semicircle is added on outside the region. Find the area of the shaded region. [ Use \(\pi\) =3.14 ]

3

(a)

In fig., APB and AQO are semicircle, and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region. [ Use \(\pi\) = 22 / 7]

3

(a)

AB is chorod of circle of radius 10 cm. The chorod subtends a right angle at the centre of the circle. Find the area of the minor segment. [Take \(\pi\) = 3.14 ]

3

(a)

In fig., ABCD is a square of side 14 cm. Semicircles are drawn with each side of square as diameter. Find the area of the shaded region ( use \(\pi\)  = 22 / 7 )

3

(a)

In fig., find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where  \(\angle AOC={ 40 }^{ o }.\ (Use\quad \pi =\frac { 22 }{ 7 } )\)

3

(a)

How long will Onkar take to run \(12{1\over2}\) rounds at the rate of 3.3km/h, around a circular track of area 5544m²?

3

(a)

From a rectangular sheet of paper ABCD with AB=40cm and AD=28cm, a semicircular portion with BC as diameter is cut off.Find the area of the remaining paper.[Use \(\pi={22\over7}\)]

3

(a)

A chord of a circle of radius 12cm subtends an angle of 120⁰ at the centre.Find the area of the corresponding segment of the circle.[Use \(\pi=3.14\ and\ \sqrt{3}=1.73\)]

3

(a)

If the hypotenuse of an isosceles right triangle is \(7\sqrt{2}cm\), find the area of the circle inscribed in it.

3

(a)