Degree-radian conversion

A question is this type if and only if it asks to convert between degrees and radians, or express an angle in exact radian form.

4 questions · Easy -1.6

1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta
Sort by: Default | Easiest first | Hardest first
OCR MEI C2 2006 January Q1
2 marks Easy -1.8
1 Given that \(140 ^ { \circ } = k \pi\) radians, find the exact value of \(k\).
OCR MEI Paper 2 2021 November Q2
3 marks Easy -1.8
2
  1. Write \(65 ^ { \circ }\) in radians, giving your answer in the form \(k \pi\), where \(k\) is a fraction in its lowest terms.
  2. Write 0.211 radians in degrees, giving your answer correct to \(\mathbf { 1 }\) decimal place.
OCR C2 2007 January Q2
5 marks Easy -1.2
\includegraphics{figure_2} The diagram shows a sector \(OAB\) of a circle, centre \(O\) and radius 8 cm. The angle \(AOB\) is \(46°\).
  1. Express \(46°\) in radians, correct to 3 significant figures. [2]
  2. Find the length of the arc \(AB\). [1]
  3. Find the area of the sector \(OAB\). [2]
OCR MEI C2 2008 June Q1
2 marks Easy -1.8
Express \(\frac{7\pi}{6}\) radians in degrees. [2]