The questions below are posed in order to help you think about how to find the number of degrees in start fraction, 8, pi, divided by, 9, end fraction 98π​ radians.This question page contains a series of questions followed by an input box and a try button. When each try button is pressed, if your answer is correct, it is placed on the page and the next question appears.What fraction of a semicircle is an angle that measures start fraction, 8, pi, divided by, 9, end fraction 98π​ radians? Express your answer as a fraction in simplest terms.

How many degrees is start fraction, 8, divided by, 9, end fraction 98​ of a semicircle?

How many degrees is start fraction, 8, pi, divided by, 9, end fraction 98π​ radians?

How many degrees is one ninth 91​ of a semicircle?

Convert the angle start fraction, pi, divided by, 2, end fraction 2π​ radians to degrees.

How many radians are there in 90 0 ?2. How many degrees are there in ( 𝜋2 )c ?3. How many grades are there in one right angle?4. Write down the relation that involves degrees and grades5. Find the ratio between ( 𝜋2 )c and 200g6. Find the ratio of 45° to 60 g7. If 30g is taken from 100° , find the remainder in circular measure.8. What is the relation that involves degrees, grades and radians9. Define an angle of one radian10. In the formula 𝜃 = 𝑙𝑟 , what does 𝜃 represent?11. If the sum of number of degrees and number of grades of an angle is 57, find the angle indegrees.12. The sum of two angles is 87° and their difference is 30g. Find the angles in radians.13. One angle of a triangle is 27°. If the ratio between the remaining two angles is 8:9, find allangles in grades.14. One angle of a triangle is 81°. If the ratio between the remaining two angles is 8:3, find allangles in degrees.15. If the difference between the two acute angles of a right angled triangle is ( 2𝜋5 )c , find thesetwo angles in radians.16. Divide 60° into two parts such that the ratio between them is 1:2. Find both parts in degrees.17. The angles of a triangle are in the ratio 2:3:7. Find the angles in degrees.18. If the angles of a quadrilateral are in the ratio 1:2:3:4, find all the angles in grades.19. Find the measure of the forth angle in grade of a quadrilateral having three angles ( 𝜋5 ) c ,36g and 45g20. If ( 2𝑥3 )g , ( 3𝑥2 )° and ( 𝜋𝑥75 )c are the angles of a triangle, find them in degrees.21. If D be the number of degrees and G be the number of grades in the same angle,prove that 𝐷9 = 𝐺1022. If D be the number of degrees, G be the number of grades and R be the number of radians ofthe same angle, prove that 𝐷9 = 𝐺10 = 20𝑅𝜋23. If α and β denote the number of sexagesimal and centesimal second of any anglerespectively, prove that: α:β = 81:25024. Find the angle in radians between the two hands of a clock at 5 o’clock.25. Find the angle in radian formed by the minute hand and hour hand of a clock at:(a) half past 3 (b) quarter past 6 (c) quarter to 226. An angle of 105° is divided into two parts such that the number of grades in the first part isto the number of degrees in the second part is 5:6. Find the angles ( both parts ) in circularmeasure.27. An angle of 30° is divided into two parts such that the number of grades in the first part is tothe number of degrees in the second part is 5:3. Find the angles ( both parts ) in degrees.28. One angle of a triangle is two-third of a right angle. In the remaining two angles, the greaterexceeds the smaller by 20°. Find all angles in degrees.29. In a circle of radius 12cm, an arc of length 15cm subtends some angle at the centre. Find theangle in degrees30. The arc of the length 28 cm subtends an angle of 72g at the center of a circle. Find thelength of the diameter of the circle.31. Find the central angle in radians in centesimal measure subtended at the center of acircle of radius 6 cm by an arc of 24 cm long.32. The arc of the length 28 cm subtends an angle of 72g at the center of a circle. Find thelength of the diameter of the circle33. In a circle, an arc of length 35cm subtends an angle of 28° at the centre. Find the radius ofthe circle.34. The minute hand of a clock is 3.5cm long. How far does the tip of the minute hand move in20 minutes?35. The minute hand of a clock is 14cm long. How far does the tip of the minute hand move in15 minutes?36. If a pendulum having length 7cm oscillates through an angle of 30°, find the distancecovered by its tip.37. A dog is tied to a pole by a 4m long rope. If the dog moves along the circumference of acircle keeping the rope tight, how far will it move if the rope turns through 45°?38. A cow is tied to a pole by a 7m long rope. If the cow moves along the circumference of acircle keeping the rope tight, how far will it move if the rope turns through 28° ?39. A man running along a circular track at the rate of 20 km per hour travels on the track in.40. ' each side of its standard position. Find the lengthof the arc through which it swing