Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Angle subtended by a chord on the centre of a circle is 180 degree. What will be the angle subtended by the same chord on the circumference of this circle?

Options:

120 degree

95 degree

90 degree

45 degree

Correct Answer:

90 degree

Explanation:

We know that ,

Angle made by an chord at center is double to the angle made by same chord on the major arc.

Angle subtended by a chord on the centre of a circle is 180 degree.

That means chord is diameter of circle.

And we know that , Diameter makes 90º angle on circumference.

Let us consider that , Angle made at circumference = x degree

According to question ,

 2x = 180º

x = 90º