Mark the statements that are true.

Radian, When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the length of the radius. When the length of the arc becomes equal to the length of the radius, the angle subtended at the center becomes 1 radian. We denote the unit radian as rad. Radians is the SI unit of measuring angles.

Degree Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by '°'. Degrees is not an SI unit to measure angles but it is an accepted unit to measure. Hence, while solving problems, it is preferred to convert the unit of angle from radians to degrees to understand it better. The instrument used to measure an angle in degrees is a protractor. Comparing the measures of the angle for a complete rotation, we observe,360 Degrees = 2π Radians180 Degrees = π Radians

According to the question

To convert radians to degrees, multiply by 180/p,

like this: degrees = radians x (180 / π )

To convert degrees to radians,

multiply by p/180, like this

radians = degrees x ( π/180)

(A)

This will use the formula for radians to degrees. π/3 x (180/π) The pi's cancel, leaving you with: 180/3 = 60 degrees False

(B)

An angle that measures π/6 radians also measures 30°π/6 x (180/π) = 30 degrees. True

(C)

An angle that measures π/3 radians also measures 60°π/3 x (180/π) = 60 degrees. True

(D) An angle that measures 180 degrees also measures π/2π/2 x (180/π) = 90 degrees. False

hence, measure angles π and π/4 is true, therefore option B and C are true

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