Advertisements
Advertisements
Question
What is the length of the arc intercepted by a central angle of measure 41° in a circle of radius 10 ft?
Advertisements
Solution
Central angle subtended by the arc θ = 41°
θ = `41 xx pi/180` Radians
The radius of the circle r = 10 feet
Length of the arc = s
s = r θ
= `10 xx 41 xx pi/180^circ`
= `10 xx 41 xx 22/(7 xx 180)`
= `(41 xx 11)/(7 xx 9)`
= `451/63`
= 7.16 ft
APPEARS IN
RELATED QUESTIONS
Express the following angles in radian measure:
30°
Express the following angles in radian measure:
– 205°
Express the following angles in radian measure:
150°
Express the following angles in radian measure:
330°
Find the degree measure corresponding to the following radian measures
`pi/3`
Find the degree measure corresponding to the following radian measures
`pi/9`
Find the degree measure corresponding to the following radian measures
`(2pi)/5`
Find the degree measure corresponding to the following radian measures
`(7pi)/3`
In a circle of diameter 40 cm, a chord is of length 20 cm. Find the length of the minor arc of the chord
Find the degree measure of the angle subtended at the centre of circle of radius 100 cm by an arc of length 22 cm
If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii
The perimeter of a certain sector of a circle is equal to the length of the arc of a semi-circle having the same radius. Express the angle of the sector in degrees, minutes and seconds
An airplane propeller rotates 1000 times per minute. Find the number of degrees that a point on the edge of the propeller will rotate in 1 second
Choose the correct alternative:
A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?
