Advertisements
Advertisements
Question
The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210°, find the area of the sector in case.
Advertisements
Solution
The radius of the sector of the circle, r = 7 cm
Measure of arc (θ) = 210°
∴ Area of the sector = `"θ"/360 × πr^2`
`= 210/360 × 22/7 × (7)^2`
`= 7/12 × 22 × 7`
`= 7/6 × 11 × 7`
= 89.83 cm2
APPEARS IN
RELATED QUESTIONS
If the perimeter of a semi-circular protractor is 66 cm, find the diameter of the protractor (Take π = 22/7).
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]
Find the circumference of the circle with the following radius: (Take `bb(pi = 22/7`)
14 cm
A sheet of paper is in the form of rectangle ABCD in which AB = 40cm and AD = 28 cm. A semicircular portion with BC as diameter is cut off. Find the area of remaining paper.
Find the angle subtended at the centre of circle of radius ‘a’ cm by an arc of length
`(api)/4` 𝑐𝑚
A boy is cycling in such a way that the wheels of his bicycle are making 140 revolutions per minute. If the diameter of a wheel is 60 cm, calculate the speed (in km/h) at which the boy is cycling.
The circumference of a circle is 22 cm. Find its area.
Find the area of the circle if its circumfence is 88 cm.
The circumference of a garden roller is 280 cm. How many revolutions does it make in moving 490 meters?
The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq. m. Find the area of the circle.
A conical tent with a capacity of 600 m3 stands on a circular base of area 160 m2 Find in m2 the area of the canvas.
There are two circular gardens A and B. The circumference of garden A is 1.760 km and the area of garden B is 25 times the area of garden A. Find the circumference of garden B.
Draw the circumcircle of Δ PMT in which PM = 5.4, P = 60°, M = 70°.
Find the radius of the circle whose circumference is equal to the sum of the circumferences of the circles having radius 15 cm and 8 cm.
The speed of a car is 66km per hour. If each wheel of the car is 140cm in diameter, find the number if revolution made by each wheel per minute.
A ground is in the form of a circle whose diameter is 350 m. An athlete makes 4 revolutions. Find the distance covered by the athlete
A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?
The area of a quadrant of a circle whose circumference is 22 cm, is ____________.
A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in the following figure:
Does the perimeter change? If it does change, by how much does it increase or decrease?
A photograph of Billiard/Snooker table has dimensions as `1/10`th of its actual size as shown in the following figure:
The portion excluding six holes each of diameter 0.5 cm needs to be polished at rate of ₹ 200 per m2. Find the cost of polishing.
