Advertisements
Advertisements
प्रश्न
Find the degree and radian measure of exterior and interior angle of a regular Octagon.
Advertisements
उत्तर
Octagon:
Number of sides = 8
Number of exterior angles = 8
Sum of exterior angles = 360°
∴ Each exterior angle = `(360°)/"no. of sides"`
= `(360°)/8`
= 45°
=`(45 xx pi/180)^"c"`
= `(pi/4)^"c"`
Interior angle + Exterior angle = 180°
∴ Each interior angle = 180° – 45° = 135°
= `(135 xx pi/180)^"c"`
= `((3pi)/4)^"c"`
APPEARS IN
संबंधित प्रश्न
Convert the following angle into radian:
85°
Convert the following angle into radian:
250°
Convert the following angle into radian:
−132°
Convert the following angles into radian:
65°30′
Convert the following angles into radian:
75°30′
Convert the following angles into radian:
40° 48′
Convert the following angles in degree.
`(7pi^"c")/12`
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"`
In ∆ABC, if m∠A = `(7pi^"c")/36`, m∠B = 120°, find m∠C in degree and radian.
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.
In a cyclic quadrilateral two adjacent angles are 40° and `pi^"c"/3`. Find the angles of the quadrilateral in degrees.
One angle of a quadrilateral has measure `(2pi^"c")/5` and the measures of other three angles are in the ratio 2 : 3 : 4. Find their measures in degree and radian.
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 Heptagon.
A pendulum of length 14 cm oscillates through an angle of 18°. Find the length of its path.
Select the correct option from the given alternatives :
156° is equal to
Angle between hand’s of a clock when it shows the time 9.45 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 :
Find the radius of the circle in which central angle of 60° intercepts an arc of length 37.4 cm.
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.
