Advertisements
Advertisements
Question
In a grassland, a sheep is tethered by a rope of length 4.9 m. Find the maximum area that the sheep can graze
Advertisements
Solution
Length of the rope = 4.9 m
Area that the sheep can graze = Area of circle with radius 4.9 m
Area of the circle = πr2 sq.units
= `22/7 xx 4.9 xx 4.9`
= 22 × 0.7 × 4.9
= 75.46
∴ Area that the sheep can graze = 75.46 m2
APPEARS IN
RELATED QUESTIONS
Find the perimeter of the adjoining figure, which is a semicircle including its diameter.
A 36-m-long, 15-m-borad verandah is to be paved with stones, each measuring 6dm by 5 dm. How many stones will be required?
Two concentric circles of radii a and b (a > b) are given. Find the length of the chord of the larger circle which touches the smaller circle.
Prove that the area of a circular path of uniform width h surrounding a circular region of radius r is `pih(2r+h)`
In the following figure, AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.
In the following figure, ABC is an equilateral triangle of side 8 cm. A, B and C are the centres of circular arcs of radius 4 cm. Find the area of the shaded region correct upto 2 decimal places. (Take π =3.142 and`sqrt3` = 1.732).
Write the formula for the area of a sector of angle \[\theta\] (in degrees) of a circle of radius r.
Two circles touch each other externally. The sum of their areas is 74π cm2 and the distance between their centers is 12 cm. Find the diameters of the circle.
The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is ______.
If radius of a circle is increased to twice its original length, how much will the area of the circle increase?
