Advertisements
Advertisements
Question
Find the diameter of a circle whose circumference is equal to the sum of circumference of circles with radius 10 cm, 12 cm, and 18 cm.
Advertisements
Solution
Let the radius of the circle = R cm
∴ 2πR = 2π × 10 + 2π × 12 + 2π × 18
On dividing each term by 2π, we get:
R = 10 + 12 + 18 = 40 cm
∴ Radius of the circle obtained = 40 cm
And, its diameter = 2 × Radius
= 2 × 40 cm = 80 cm
APPEARS IN
RELATED QUESTIONS
Given figure depicts an archery target marked with its five scoring areas from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of each of the five scoring regions. [use π = 22/7]
The areas of two circles are in the ratio 4: 9. What is the ratio between their circumferences?
Four equal circles, each of radius a units, touch each other. Show that the area between them is `(6/7 a^2)` sq units.
The radius of the circle is given below; find the area.
28 cm
Find the area grazed by a horse tied with a 11. 2 m rope to a corner of a field measuring 25m by 15 m.
The radii of two circles are 48 cm and 13 cm. Find the area of the circle which has its circumference equal to the difference of the circumferences of the given two circles.
The center O of a circle of a radius 1.3 cm is at a distance of 3.8 cm from a given straight line AB. Draw a circle to touch the given straight line AB at a point P so that OP = 4.7 cm and to touch the given circle externally.
What is the circumference of a circle of diameter 10 cm (Take π = 3.14)?
The area of a circular playground is 22176 m2. Find the cost of fencing this ground at the rate of Rs 50 per metre.
Ratio of the circumference of a circle to its diameter is denoted by symbol ______.
