Advertisements
Advertisements
प्रश्न
विकल्प
66 cm
44 cm
160 cm
99 cm
Advertisements
उत्तर
The measure of the arc of a circle, θ = 160º
Let r be the radius of the circle.
Length of the arc = 44 cm
\[\therefore \frac{\theta}{360°} \times 2\pi r = 44\]
\[ \Rightarrow \frac{160° }{360° } \times 2\pi r = 44\]
\[ \Rightarrow 2\pi r = \frac{44 \times 360° }{160° } = 99 cm\]
Thus, the circumference of the circle is 99 cm.
संबंधित प्रश्न
A race track is in the form of a ring whose inner circumference is 352 m, and the outer circumference is 396 m. Find the width of the track.
An elastic belt is placed round the rim of a pulley of radius 5 cm. One point on the belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm from O. Find the length
of the belt that is in contact with the rim of the pulley. Also, find the shaded area.
In the given figure, the side of square is 28 cm and radius of each circle is half of the length of the side of the square where O and O' are centres of the circles. Find the area of shaded region.
If the circumference of a circular sheet is 154 m, find its radius. Also find the area of
the sheet. (Take `pi = 22/7`)
A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the costs of the rope, if it cost ₹ 4 per meter. (Take `pi = 22/7`)
The minute hand of a clock is √21 𝑐𝑚 long. Find area described by the minute hand on the face of clock between 7 am and 7:05 am
In circle of radius 6cm, chord of length 10 cm makes an angle of 110° at the centre of circle find Area of the circle
Below fig shows a sector of a circle, centre O. containing an angle 𝜃°. Prove that Perimeter of shaded region is 𝑟 (tan 𝜃 + sec 𝜃 +`(pitheta)/180`− 1)
Find the length of the arc of a circle of diameter 42 cm which subtends an angle of 60° at the centre.
The diameters of the front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that a rear wheel makes to cover the distance which the front wheel covers is 800 revolutions.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 16 cm , diameter = 24 cm
A hollow metallic cylindrical tube has an internal radius of 3.5 cm and height 21 cm. The thickness of the metal tube is 0.5 cm. The tube is melted and cast into a right circular cone of height 7 cm. Find the radius of the cone, correct to one decimal place.
Find the total surface area and volume of a hemisphere whose radius is 10 cm.
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.
If the perimeter of a semi-circular protractor is 36 cm. Find its diameter.
In the adjoining figure, the radius is 3.5 cm. Find:
(i) The area of the quarter of the circle correct to one decimal place.
(ii) The perimeter of the quarter of the circle correct to one decimal place. ( Take π = `22/7`)
The diameter of the wheel of a cart is 1.05 m. How much distance will the cart cover in 1000 rotations of the wheel?
The area between the circumference of two concentric circles is 2464cm2. If the inner circle has a circumference of 132cm, calculate the radius of the outer circle.
Find the circumference of the circles whose radii are given below.
49 cm
A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?
