Advertisements
Advertisements
Question
A circle of radius 70 cm is divided into 5 equal sectors. Find the area of each of the sectors
Solution
Radius of the sector r = 70 cm
Number of equal sectors = 5
∴ Central angle of each sector = `(360^circ)/"n"`
θ° = 360°
θ° = 72°
Area of the sector = `theta^circ/(360^circ) xx pi"r"^2 "sq. units"`
= `(72^circ)/(360^circ) xx pi xx 70 xx 70 "cm"^2`
Hint:
`(72 xx pi xx 70 xx 70)/360`
= 14 × 70 × πcm2
= 980 πcm2
APPEARS IN
RELATED QUESTIONS
From the measures given below, find the area of the sectors.
Length of the arc = 48 m, r = 10 m
From the measures given below, find the area of the sector.
length of the arc = 50 cm, r = 13.5 cm
Dhamu fixes a square tile of 30 cm on the floor. The tile has a sector design on it as shown in the figure. Find the area of the sector. (π = 3.14)
A circle is formed with 8 equal granite stones as shown in the figure each of radius 56 cm and whose central angle is 45°. Find the area of the granite stones. `(pi = 22/7)`
Guna has fixed a single door of width 3 feet in his room where as Nathan has fixed a double door, each of width `1 1/2` feet in his room. From the closed position, if each of the single and double doors can open up to 120°, whose door takes a minimum area?
In a rectangular field which measures 15 m × 8m, cows are tied with a rope of length 3 m at four corners of the field and also at the centre. Find the area of the field where none of the cow can graze. (π = 3.14)
Three identical coins, each of diameter 6 cm are placed as shown. Find the area of the shaded region between the coins. (π = 3.14) `(sqrt(3) = 1.732)`
