Question

In a circle central angle is equal to,
A. Inscribed angle
B. Intercepted arc
C. Tangent
D. Secant

Answer 1

Hint: We will be using the basic concepts of angle subtended by an arc, intercepted arc and central angle to solve the problem. We will be using the concepts of circles and angles to further solve the problem.
Complete step by step answer:
We have to find what central angle is equal to.
To solve the question we have to first understand what does central angle means.

So, a central angle is an angle whose apex is the centre O of a circle and whose legs radii intersect the circle in distinct points.
Now, we know that the intercepted arc is a section of the circle's circumference. We can understand it more clearly by this figure.
 

Therefore, from the figure it is clear that the intercepted arc is equal to central angle.
Hence, the answer is option (B).

Note: To solve this question one must be familiar with the meaning of inscribed angle, intercepted arc, tangent and secant. Also knowing about the concepts of circles and angles will greatly simplify the question.