Advertisements
Advertisements
Question
The perimeter of a certain sector of a circle of radius 6.5 cm in 31 cm. Find the area of the sector.
Solution
Given:
Radius = 6.5 cm
Let O be the centre of the circle with radius 6.5 cm and OACBO be its sector with perimeter 31 cm.
Thus, we have:
OA + OB + arc AB = 31 cm
⇒ 6.5 + 6.5 + are AB = 31 cm
⇒ arc AB = 18 cm
Now,
Area of the sector OACBO` = 1/2xx"Radius"xx "arc"`
`=1/2xx6.5xx18`
= 58.5 cm2
APPEARS IN
RELATED QUESTIONS
The dimensions of a room are 14 m x 10 m x 6.5 m There are two doors and 4 windows in the room. Each door measures 2.5 m x 1.2 m and each window measures 1.5 m x 1 m. Find the cost of painting the four walls of the room at ₹ `35perm^2` .
Find the area of the following figure, in square cm, correct to one place of decimal. (Take π = 22/7).
In the following figure, ABCD is a rectangle, having AB = 20 cm and BC = 14 cm. Two sectors of 180° have been cut off. Calculate:
the length of the boundary of the shaded region.
Find the area of a shaded region in the the following figure,where a circular arc of radius 7 cm has been drawn with vertex A of an equilateral triangle ABC of side 14 cm as centre. (Use π = 22/7 and \[\sqrt{3}\] = 1.73)
In the following figure, AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.
The area of the circle that can be inscribed in a square of side 10 cm is
Find the area of the major segment APB of a circle of radius 35 cm and ∠AOB = 90°, as shown in the given figure.
If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.
The sum of diameters of two circles is 112cm and the sum of their areas is 5236cm2. Find the radii of the two circles.
Find the area of the shaded region:
