Advertisements
Advertisements
Question
Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (π = 3.14)
Given: The radius of a circle (r) = `square`
Measure of an arc of the circle (θ) = `square`
Area of the sector = `θ/360^circ xx square`
= `square/360^circ xx square xx square xx square`
= `square xx square xx square`
= 47.10 cm2
Solution
Given: The radius of a circle (r) = 10 cm
Measure of an arc of the circle (θ) = 54°
Area of the sector = `θ/360^circ` × πr2
= `bb54/360^circ` × 3.14 × 10 × 10
= 3 × 1.57 × 10
= 47.10 cm2
APPEARS IN
RELATED QUESTIONS
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes. [Use `pi = 22/7`]
A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding:
Major sector [Use π = 3.14]
A round table cover has six equal designs, as shown in figure. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs.0.35 per cm2. [Use `sqrt3 = 1.7`]
A sector of circle of radius 4cm contains an angle of 30°. Find the area of sector
The area of sector of circle of radius 5cm is 5𝜋 cm2. Find the angle contained by the sector.
In a circle of radius 35 cm, an arc subtends an angle of 72° at the centre. Find the length of arc and area of sector
AB is the diameter of a circle, centre O. C is a point on the circumference such that ∠COB = 𝜃. The area of the minor segment cutoff by AC is equal to twice the area of sector BOC.Prove that `"sin"theta/2. "cos"theta/2= pi (1/2−theta/120^@)`
In the given figure, PA and PB are tangents to a circle from an external point P such that PA = 4 cm and ∠BAC = 135°. Find the length of chord AB ?
(2) Area of any one of the sectors
The length of the minute hand of a clock is 5 cm. Find the area swept by the minute hand during the time period 6 : 05 am and 6 : 40 am.
A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20 m × 16 m. Find the area of the field in which the cow can graze.
The radius of a circle is 17.5 cm. Find the area of the sector enclosed by two radii and an arc 44 cm in length.
In a circle of radius 7 cm, a square ABCD is inscribed. Find the area of the circle which is outside the square.
A park is in the form of a rectangle 120 m by 90 m. At the centre of the park there is a circular lawn as shown in the figure. The area of the park excluding the lawn is 2950 m2. Find the radius of the circular lawn.
The radius of a circle with centre O is 7 cm. Two radii OA and OB are drawn at right angles to each other. Find the areas of minor and major segments.
If angle of sector is 60°, radius is 3.5 cm then length of the arc is ____________.
A horse is tied to a peg at one corner of a square-shaped grass field of side 15 m by means of a 7 m long rope. The area of that part of the field in which the horse can graze is ____________.
If the area of a circle is numerically equal to twice its circumference, then the diameter of the circle is ____________.
The area of the shaded portion in the following figure is equal to the area of.
