Advertisements
Advertisements
Question
In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.
Advertisements
Solution
Triangle OAB is an equilateral triangle ∠AOB = 60°
= `(60×π)/180 "radians"`
= `π/3` radian
Let arc AB = l
The angle made by the arc at centre O, θ = `π/3` Length of arc AB,
l = rθ = 20 × `π/3` radians
= `(20π)/3` radians
APPEARS IN
RELATED QUESTIONS
Find the radian measure corresponding to the following degree measure:
240°
Find the radian measure corresponding to the following degree measure:
520°
Find the degree measure corresponding to the following radian measure `(use pi = 22/7)`
`11/16`
Find the degree measure corresponding to the following radian measure (use `pi= 22/7`).
`(7pi)/6`
If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.
Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length
10 cm
Find the degree measure corresponding to the following radian measure:
\[- \frac{5\pi}{6}\]
Find the degree measure corresponding to the following radian measure:
11c
Find the degree measure corresponding to the following radian measure:
1c
Find the radian measure corresponding to the following degree measure:
300°
Find the radian measure corresponding to the following degree measure: −56°
Find the radian measure corresponding to the following degree measure: −300°
Find the radian measure corresponding to the following degree measure: 125° 30'
The difference between the two acute angles of a right-angled triangle is \[\frac{2\pi}{5}\] radians. Express the angles in degrees.
Find the magnitude, in radians and degrees, of the interior angle of a regular octagon.
The angle in one regular polygon is to that in another as 3 : 2 and the number of sides in first is twice that in the second. Determine the number of sides of two polygons.
The number of sides of two regular polygons are as 5 : 4 and the difference between their angles is 9°. Find the number of sides of the polygons.
Find the length which at a distance of 5280 m will subtend an angle of 1' at the eye.
The radius of a circle is 30 cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30 cm.
Find the diameter of the sun in km supposing that it subtends an angle of 32' at the eye of an observer. Given that the distance of the sun is 91 × 106 km.
If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii.
Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm.
If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, than the ratio of the radii of the circles is
A circular wire of radius 7 cm is cut and bent again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is
A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48 cm. Find the angle in degrees which is subtended at the centre of hoop.
Find the value of `sqrt(3)` cosec 20° – sec 20°
Prove that `(sec8 theta - 1)/(sec4 theta - 1) = (tan8 theta)/(tan2 theta)`
The value of cos1° cos2° cos3° ... cos179° is ______.
State whether the statement is True or False? Also give justification.
Sin10° is greater than cos10°
