MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
A circle with centre O is drawn on your notebook. Two radii OA and OB form an angle of 70∘ at the centre and the chord AB is joined.
Answer the following questions in the space provided below.
(i) Define (a) a chord and (b) a diameter of a circle.
(ii) State any two differences between a sector and a segment of a circle.
(iii) For the figure described above, name each of the following regions and give a short reason for your answer:
(a) the region enclosed by OA, OB and the minor arc AB.
(b) the region enclosed by the chord AB and the minor arc AB.
(iv) Using the given information, find the measures (in degrees) of (a) the minor arc AB and (b) the major arc AB. Show all steps clearly.