Advertisements
Advertisements
प्रश्न
Convert the following angles into radian:
75°30′
Advertisements
उत्तर
We know that, 180° = πc
∴ 1° = `(pi/180)^"c"`
75°30′ = 75° + 30'
= `75^circ + (30/60)^circ ...[1"'" = (1/60)^circ]`
= `75^circ + (1/2)^circ`
= `(75 + 1/2)^circ`
= `(151/2)^circ`
= `(151/2 xx pi/180)^"c"`
= `((151pi)/360)^"c"`
APPEARS IN
संबंधित प्रश्न
Convert the following angle into radian:
85°
Convert the following angle into radian:
−132°
Convert the following angles into radian:
40° 48′
Convert the following angles in degree:
`(-5pi^"c")/3`
Convert the following angles in degree:
5c
Convert the following angles in degree:
`((-1)/4)^"c"`
Express the following angle in degree, minute and second:
(183.7)°
Express the following angle in degree, minute and second:
(245.33)°
Express the following angle in degree, minute and second:
`(1/5)^"c"`
Two angles of a triangle are `(5pi^"c")/9` and `(5pi^"c")/18`. Find the degree and radian measures of third angle.
In a right angled triangle, the acute angles are in the ratio 4:5. Find the angles of the triangle in degrees and radians.
The sum of two angles is 5πc and their difference is 60°. Find their measures in degrees.
The measures of the angles of a triangle are in A.P. and the greatest is 5 times the smallest (least). Find the angles in degrees and radian.
In a cyclic quadrilateral two adjacent angles are 40° and `pi^"c"/3`. Find the angles of the quadrilateral in degrees.
Find the degree and radian measure of exterior and interior angle of a regular pentagon.
Find the degree and radian measure of exterior and interior angle of a regular hexagon
Find the degree and radian measure of exterior and interior angle of a regular Octagon.
Select the correct option from the given alternatives :
`((22pi)/15)^"c"` is equal to
Select the correct option from the given alternatives :
156° is equal to
Select the correct option from the given alternatives :
A pendulum of 14 cm long oscillates through an angle of 12°, then the angle of the path described by its extremities is
Select the correct option from the given alternatives :
20 metres of wire is available for fencing off a flower-bed in the form of a circular sector of radius 5 metres, then the maximum area (in sq. m.) of the flower-bed is
Select the correct option from the given alternatives :
If the angles of a triangle are in the ratio 1 : 2 : 3, then the smallest angle in radian is ______.
Select the correct option from the given alternatives :
Find the measure of the angle between hour-hand and the minute hand of a clock at twenty minutes past two.
Answer the following :
Find the number of sides of a regular polygon, if each of its interior angle is `(3pi^"c")/4`.
Answer the following :
A wire of length 10 cm is bent so as to form an arc of a circle of radius 4 cm. What is the angle subtended at the centre in degree ?
Show that the minute-hand of clock gains 5°30' on the hour-hand in one minute.
Answer the following :
A train is running on a circular track of radius 1 km at the rate of 36 km per hour. Find the angle, to the nearest minute, through which it will turn in 30 seconds.
