Advertisements
Advertisements
प्रश्न
For the sectors with given measures, find the length of the arc, area and perimeter. (π = 3.14)
central angle 120°, d = 12.6 cm
Advertisements
उत्तर
∴ r = `12.6/2 "cm"`
r = 6.3 cm
Length of the arc l = `(theta^circ)/(360^circ) xx 2pi"r" "units"`
l = `(120^circ)/(360^circ) xx 2 xx 3.14 xx 63 "cm"`
l = 13.188 cm
I = 13.19 cm
Area of the sector A = `(theta^circ)/(360^circ) xx pi"r"^2 "units"`
A = `(120^circ)/(360^circ) xx 3.14 xx 6.3 xx 63 "cm"^2`
A = 3.14 × 6.3 × 2.1 cm2
A = 41.54 cm2
Perimeter of the sector P = l + 2r cm
P = 13.19 + 2(6.3) cm
= 13.19 + 12.6 cm
P = 25.79 cm
APPEARS IN
संबंधित प्रश्न
The measure of an arc of a circle is 80° and its radius is 18 cm. Find the length of the arc. (π = 3.14)
Area of a sector of a circle of radius 15 cm is 30 cm2 . Find the length of the arc of the sector.
The area of a sector of a circle of 6 cm radius is 15 π sq. cm. Find the measure of the arc and the length of the arc corresponding to the sector.
In the given figure, seg AB is a chord of a circle with centre P. If PA = 8 cm and distance of chord AB from the centre P is 4 cm, find the area of the shaded portion. ( \[\pi\] = 3.14, \[\sqrt{3}\]= 1.73 )
In the given figure, square ABCD is inscribed in the sector A - PCQ. The radius of sector C - BXD is 20 cm. Complete the following activity to find the area of shaded region
Measure of an arc of a sector of a circle is 900 and its radius is 7cm. Find the perimeter of the sector.
(A) 44 cm (B) 25 cm (C) 36 cm (D) 56 cm
Two gates are fitted at the entrance of a library. To open the gates easily, a wheel is fixed at 6 feet distance from the wall to which the gate is fixed. If one of the gates is opened to 90°, find the distance moved by the wheel (π = 3.14)
In the given figure `square`ABCD is a square of side 50 m. Points P, Q, R, S are midpoints of side AB, side BC, side CD, side AD respectively. Find area of shaded region
In the given figure, a rectangle ABCD is inscribed inside a semi-circle of radius 10 cm. Using the dimensions given in the figure, determine the area of the shaded region.
The perimeter of an arc of radius 4.2 cm is 12.8 cm. Determine the angle subtended by the arc at the centre of circle.
