Advertisements
Advertisements
प्रश्न
In a circle of diameter 40 cm, a chord is of length 20 cm. Find the length of the minor arc of the chord
Advertisements
उत्तर
O = centre of the circle
PQ = diameter = 40 cm
∴ OQ = 20 cm
Radius = 20 cm
⇒ OA = OB = 20 cm
Chord AB = 20 cm
OC ⊥ r AB
∴ AC = CB = 10 cm
Now from the right angled triangle OCB
sin θ = `10/20 = 1/2`
⇒ θ = `pi/6`
So ∠AOB = `2 xx pi/6 = pi/3` = 60
Now r = 20 cm, θ = `pi/3`
So arc AB = `60/360 2pi"r"`
= `60/360 xx 2 xx pi xx 20`
= `(20pi)/3` cm
or
= 20.95 cm
APPEARS IN
संबंधित प्रश्न
Express the following angles in radian measure:
135°
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
`(7pi)/3`
Find the degree measure corresponding to the following radian measures
`(10pi)/9`
What must be the radius of a circular running path, around which an athlete must run 5 times in order to describe 1 km?
What is the length of the arc intercepted by a central angle of measure 41° in a circle of radius 10 ft?
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
A train is moving on a circular track of 1500 m radius at the rate of 66 km/hr. What angle will it turn in 20 seconds?
Choose the correct alternative:
A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?
