Area of a Circle
(a) 3 : 4
(b) 9 : 16
(c) 3 : 5
(d) 9 : 25
Find the area of a square that can be inscribed in a circle of radius 8 cm.
If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.
The circumference of two circles are in the ratio 2 : 3. Find the ratio of their areas.
On decreasing the radius of a circle by 30 %, its area is decreased by
(a) 30 % (b) 60 % (c) 45% (d) none of these
On increasing the diameter of a circle by 40%, its area will be increased by
(a) 40% (b) 80 % (c) 96 % (d) 82%
The side of a square is 10 cm. Find the area of circumscribed and inscribed circles.
The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeter of the triangle. [Use π=227 and √=1.73]
A copper wire when bent in the form of a square encloses an area of 484 cm2. The same wire is now bent in the form of a circle. Find the area enclosed by the circle.
The triangle of the maximum area that can be inscribed in a given circle of radius ‘’ is:
A right-angle triangle having two of its sides of length and
An equilateral triangle of height
Isosceles triangle with base equal to
An equilateral triangle having each of its side of length
In Fig. 12.25, ABCD is a square of side 14 cm. With centers A, B, C and D, four circles are drawn such that each circle touches externally two of the remaining three circles. Find the area of the shaded region.
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?
The circumference a circle is 44 cm. Then its area is ______ cm2 [Use π=227]
Find the area of a circle whose circumference is 44 cm.
In ∆ABC AB=6 BC=8 AC=10 . A perpendicular dropped from B meets AC at D . A circle of radius BD (centre B) is drawn . In the circle cuts AB and BC at P and Q then find AP:QC
A horse is tied to a pole with 28 m long string. Find the area where the horse can graze. (Take π=227)
A wire is in the shape of a circle of radius 21 cm. It is bent to form a square. The side of the square is:
The circumferences of two circles are in the ratio 3 : 4. The ratio of their area is
(a) 3 : 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
A steel wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent in the form of a circle, find the area of the circle.
If the perimeter of a square is equal to the circumference of a circle then the ratio of their areas is
(a) 4 : π (b) π : 4 (c) π : 7 (d) 7 : π
The area enclosed between the concentric circles is 770 cm2. If the radius of the outer circle is 21 cm, find the radius of the inner circle.
In given figure, a circle of radius 7.5cm is inscribed in a square, the remaining area of the square is
48.91 cm sq
52.32 cm sq
48.375 cm sq
46 cm sq