Advertisements
Advertisements
Question
Find the area and perimeter of the following sector :
Radius= 6 cm, angle at the centre is 70°
Solution
Area of the sector = `pi "r"^2 xx theta/360^circ`
`= 22/7 xx 6 xx 6 xx 70^circ/360^circ`
= 22 cm2
Perimeter of the sector = `2"r" + (2 pi "r" xx theta/360^circ)`
`= 2 xx 6 + (2 xx 22/7 xx 6 xx 70^circ/360^circ)`
= 12 + 7.33
= 19.33 cm
Area of the sector = 22 cm2 and perimeter = 19. 33 cm
APPEARS IN
RELATED QUESTIONS
In Fig. 3, APB and AQO are semicircles, and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region [Use `pi=22/7`]
In Fig. there are shown sectors of two concentric circles of radii 7 cm and 3.5 cm. Find the area of the shaded region. Use π = `(\frac { 22 }{ 7 }).`
The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days. (Take π = 22/7)
The circumference of a circle exceeds diameter by 16.8 cm. Find the circumference of
circle.
A horse is tied to a pole with 28m long string. Find the area where the horse can graze.
A playground has the shape of rectangle, with two semicircles on its smaller sides as diameters, added to its outside. If the sides of rectangle are 36m and 24.5m. find the area of playground.
Four equal circles, each of radius 5 cm touch each other as shown in fig. Find the area included etween them.
A square water tank has its side equal to 40m, there are 4 semicircular flower beds grassy plots all around it. Find the cost of turfing the plot at Rs 1.25/sq.m
In the given figure, 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 π = 3.14]
The perimeter of the quadrant of a circle is 25 cm. Find its area.
The area of a circular ring enclosed between two concentric circles is 88 cm 2. Find the radii of the two circles, if their difference is 1 cm.
Find the circumference of the circle whose area is 25 times the area of the circle with radius 7 cm.
Find the area and perimeter of the following semi-circle :
Diameter= 5.6 cm
Sand from a cylindrical bucket 32 cm in height and 18 cm in radius is poured onto the ground making a conical heap 24 cm high. Find the radius of the conical heap.
The diameter of a right circular cylinder is 12 m and the slant height is 10 m. Find its curved surface area and the total surface area .
The radii of two circles are 25 cm and 18 cm. Find the radius of the circle which has a circumference equal to the sum of circumferences of these two circles.
Construct an angle PQR = 45°. Mark a point S on QR such that QS = 4.5 cm. Construct a circle to touch PQ at Q and also to pass through S.
Find the circumference of the circles whose radii are given below.
91 mm
Circumference ‘C’ of a circle can be found by multiplying diameter ‘d’ with ______.
Ishika has designed a small oval race track for her remote control car. Her design is shown in the given figure. What is the total distance around the track? Round your answer to the nearest whole centimetre.