Advertisements
Advertisements
प्रश्न
The areas of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement true? Why?
उत्तर
The statement is false because the area of a sector of a circle = `(1/2)"r"^2θ`, where r is the radius and θ the angle in radians subtended by the arc at the center of the circle.
It does not depend on the arc length.
APPEARS IN
संबंधित प्रश्न
The perimeter of certain sector of circle of radius 5.6 m is 27.2 m. Find the 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, O is the centre of the circle. m ( arc PQR) = 60° OP = 10 cm. Find the area of the shaded region.( \[\pi\]= 3.14, \[\sqrt{3}\]= 1.73)

Choose the correct alternative answer for the following question.
Find the perimeter of a sector of a circle if its measure is 90° and radius is 7 cm.
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 ____________.
Find the area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is 60°.
Find the area of the segment of a circle of radius 12 cm whose corresponding sector has a central angle of 60° (Use π = 3.14).
Find the difference of the areas of two segments of a circle formed by a chord of length 5 cm subtending an angle of 90° at the centre.
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
The length of the arc of a circle of radius 14 cm which subtends an angle of 60° at the centre of the circle is ______.