Advertisements
Advertisements
प्रश्न
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
उत्तर
(i) Let r be the radius of the circle.
Then `1/2 π r^2` = 308
r2 = 308 x 2 x `7/22` = 142
r = 14 cm
Now, AC = 2r = 28 cm
(ii) Circumference = 2πr
Circumference = `22/7` x 28
Circumference = 88 cm
APPEARS IN
संबंधित प्रश्न
An arc of length 15 cm subtends an angle of 45° at the centre of a circle. Find in terms of 𝜋, radius of the circle.
Find the angle subtended at the centre of circle of radius ‘a’ cm by an arc of length
`(api)/4` 𝑐𝑚
Four equal circles, each of radius 5 cm touch each other as shown in fig. Find the area included etween them.
The circumference of a circle is 8 cm. Find the area of the sector whose central angle is 72°.
The side of a square is 10 cm. Find the area of the inscribed circle [π = 3.14]
The area of a circle is 49 π cm2. Its circumference is:
The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is
The areas of two circles are in the ratio 9 : 4. The ratio of their circumferences is
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 12 cm , radius = 5 cm
Find the area and perimeter of the circle with the following :
Diameter = 77 cm
Find the area and perimeter of the following sector :
Radius= 6 cm, angle at the centre is 70°
The base circumferences of two cones are the same. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surface areas.
The cost of fencing a circular field at the rate of ₹ 240 per meter is ₹ 52,800. The field is to be ploughed at the rate of ₹ 12.50 per m2. Find the cost of pouching the field.
Find the area of a circle whose circumference is 22 cm.
Complete the table below.
Radius (r) | Diameter (d) | Circumference (c) |
...... | ...... | 72.6 cm |
Find the area and perimeter of the circles with following: Radius = 2.8cm
If the circumference of a circle is 82π, then the value of ‘r’ is
The area of a quadrant of a circle whose circumference is 22 cm, is ____________.
In covering a distance s metres, a circular wheel of radius r metres makes `s/(2πr)` revolutions. Is this statement true? Why?
Find the total cost of wooden fencing around a circular garden of diameter 28 m, if 1 m of fencing costs ₹ 300.