Advertisements
Advertisements
Question
Options
66 cm
44 cm
160 cm
99 cm
Advertisements
Solution
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.
RELATED QUESTIONS
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 sheet of paper is in the form of rectangle ABCD in which AB = 40cm and AD = 28 cm. A semicircular portion with BC as diameter is cut off. Find the area of remaining paper.
The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.
The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is ______.
A conical tent requires 264 m2 of canvas. If the slant height is 12 m, find the vertical height of the cone.
A wire bent in the form of an equilateral triangle has an area of 121 `sqrt 3` cm2. If the same wire is bent into the form of a circle , find the area enclosed by the wire.
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= 7 cm
A 4.2 m wide road surrounds a circular plot whose circumference is 176 m. Find the cost of paving the road at Rs 75 m 2.
Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .
Find the volume and the surface area of the spheres in the following :
Diameter= 6.3 cm
AC and BD are two perpendicular diameter of a circle ABCD. Given that the area of shaded portion is 308 cm2 calculate:
(i) The length of AC and
(ii) The circumference of circle
Using a ruler and compasses only:
(i) Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ∠ ABC = 120°.
(ii) In the same diagram, draw a circle with BC as diameter. Find a point P on the circumference of the circle which is equidistant from AB and BC.
(iii) Measure ∠ BCP.
The center O of a circle of a radius 1.3 cm is at a distance of 3.8 cm from a given straight line AB. Draw a circle to touch the given straight line AB at a point P so that OP = 4.7 cm and to touch the given circle externally.
Find the area of a circle whose circumference is 22 cm.
The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre?
Find the circumference of the circle whose area is 25times the area of the circle with radius 7cm.
The cost of fencing a circular race course at the rate of ₹ 8 per metre is ₹ 2112. Find the diameter of the race course
In covering a distance s metres, a circular wheel of radius r metres makes `s/(2πr)` revolutions. Is this statement true? Why?
The distance around a circle is its ______.
