Advertisements
Advertisements
Question
Find the area of the following circle, given that diameter = 49 m.
Advertisements
Solution
Here, diameter = 49 m
∴ Radius r = `49/2 m`
∴ Area of circle = πr2
= `22/7 xx (49/2)^2`
= `22/7 xx 49/2 xx 49/2`
= `3773/2`
= 1886.5 m2
RELATED QUESTIONS
The area of a rectangle is 192 cm2 and its perimeter is 56 cm. Find the dimensions of the rectangle.
Find the length of the diagonal of a square whose area is 128 cm2. Also, find its perimeter.
In the following figure a square OABC is inscribed in a quadrant OPBQ of a circle. If OA = 21 cm, find the area of the shaded region.
In the following figure, an equilateral triangle ABC of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take π = 3.14).
Two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular card board of dimensions 14 cm × 7 cm. Find the area of the remaining card board. (Use π = 22/7).
If the adjoining figure is a sector of a circle of radius 10.5 cm, what is the perimeter of the sector? (Take \[\pi = 22/7\])
A rope by which a cow is tethered is increased from 16 m to 23 m. How much additional ground does it have now to graze?
A square tank has an area of 1600 cm2. There are four semicircular plots around it. Find the cost of turfing the plots at Rs 12.50 per m2. [Take π = 3.14.]
Find the area enclosed between two concentric circles of radii 6.3cm and 8.4cm. A third concentric circle is drawn outside the 8.4cm circle. So that the area enclosed between it and the 8.4cm circle is the same as that between the two inner circles. Find the radii of the third circle correct to two decimal places.
Read the following passage:
People of a circular village Dharamkot want to construct a road nearest to it. The road cannot pass through the village. But the people want the road at a shortest distance from the centre of the village. Suppose the road starts from A which is outside the circular village (as shown in the figure) and touch the boundary of the circular village at B such that AB = 20 m. Also the distance of the point A from the centre O of the village is 25 m. |
Based on the above information, answer the following questions:
- If B is the mid-point of AC, then find the distance AC.
- Find the shortest distance of the road from the centre of the village.
- Find the circumference of the village.
OR
Find the area of the village.
