If a square is inscribed in a circle, then the ratio of their areas is
Let side of square be x cms inscribed in a circle.
Radius of circle (r) = 1/2(diagonal of square)
In the given figure, O is the centre of the circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, the area of shaded portion will be
Area of the bigger circle= πR2= 22/7 * 27 * 27=2291 (approx)
Diameter of the smaller circle=54-10=44
Area of the smaller circle= πr2=22/7 * 22 * 22=1521 (approx)
Area of the shaded region=Area of the bigger circle-Area of the smaller circle
= 2291-1521=770 cm2
The perimeter of the given figure is
Perimeter is the boundary of the figure
So we have two semicircles of radius 14cm which makes one complete circle. Also there are two semicircles of radius 7 cm which makes one circle.
So perimeter= 2πR+2πr=2(R+r)=2*22/7(14+7)=22*6=132cm
If PQRS is a square of side 14 cm and PAQ and SAR are semi-circles, then the area of the shaded region is
What is the area of the square inscribed in a circle with a circumference of 18.84 cm?
A park is in the form of a rectangle 120m by 90 m. At the centre of the park there is a circular lawn as shown in the figure. If the area of the park excluding the lawn is 2950 m2, then the radius of the circular lawn will be
ANSWER :- b
Solution :- Area of rec. park=(120×90)m²=10800m²
Area of rec. park excluding lawn=2950m²
Area of circular lawn=(10800 - 2950)m²
Let the radius be = r
7850/3.14 = 3.14r²/3.14
→2500 = r²
→√2500 = √r²
→50 = r
→r = 50
Radius = 50m
Calculate the area of the designed region in the given figure common between the two quadrants of circles of radius 8 cm each.
From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?
Four circles of radius 5 cm are cut out.
Area cut = 4*(π52) = 100π
Total area of circular sheet = π(20)2 = 400π
Area uncut = 300 π
The ratio of uncut to cut portion is 3 : 1
A momento is made as shown in the figure. Its base, shade is to be silver plated from the front at the rate of rs 20 per cm2. What is the total cost of silver plating?
In given figure, a circle of radius 7.5cm is inscribed in a square, the remaining area of the square is