Advertisements
Advertisements
प्रश्न
The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is - three right angles; find the area of the sector in case.
Advertisements
उत्तर
The radius of the sector of the circle, r = 7 cm
Measure of arc of the sector = θ = 3 × 90º = 270º
∴ Area of the sector = `"θ"/360` × πr2
∴ Area of the sector = `270/360 × 22/7 × (7)^2`
∴ Area of the sector = `3/4 × 22 × 7`
∴ Area of the sector = `3/2 × 11 × 7`
∴ Area of the sector = `231/2`
∴ Area of the sector = 115.5 cm2
APPEARS IN
संबंधित प्रश्न
ABC is an isosceles right-angled triangle with ∠ABC = 90°. A semi-circle is drawn with AC as the diameter. If AB = BC = 7 cm, find the area of the shaded region. [Take π = 22/7]
An arc of length 20𝜋 cm subtends an angle of 144° at centre of circle. Find the radius of the circle.
A square water tank has its side equal to 40m, there are 4 semicircular flower beds grassy plots all around it. Find the cost of turfing the plot at Rs 1.25/sq.m
The base of a right-angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.
What is the perimeter of a square which circumscribes a circle of radius a cm?
The circumference of a circle exceeds its diameter by 45 cm. Find the circumference of the circle.
PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters, as shown in the given figure. If PS = 12 cm, find the perimeter and area of the shaded region. [Take π = 3.14.]
The area of a circle is 38.5 cm2. The circumference of the circle is ______.
The areas of two circles are in the ratio 9 : 4. The ratio of their circumferences is ______.
The circumference of a circle is 22 cm. Find its area. [Take `π = 22/7`.]
A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the area of the minor and major segments. [Take π = 3.14 and `sqrt(3) = 1.732`.]
A wire when bent in the form of a square encloses an area of 484 cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Find the volume and the surface area of the spheres in the following :
Radius= 2.1 cm
Find the diameter of the sphere for the following :
Volume = `523 17/21` cm3
Find the area and perimeter of the circles with following: Diameter = 77cm
Find the circumference of the circles whose radii are given below.
91 mm
Formula used to find the circumference of a circle is
In covering a distance s metres, a circular wheel of radius r metres makes `s/(2πr)` revolutions. Is this statement true? Why?
A circular pond is 17.5 m is of diameter. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of Rs 25 per m2.
Circumference of a circle of diameter 5 cm is ______.
