Relating Central and Circumscribed Angles UNDERSTANDING THE RELATIONSHIP How are the measures of circumscribed angles and central angles related when they intercept the same arc or different, congruent arcs? The intercepted arc has the same measure as the central angle, The entire arc of a circle is 360 =250 The measure of the circumscribed angle is half the of the intercepted arcs. 12 (mADB-mAB) - 110) = 70 D 110 B