Angle subtended by a chord AB on the cir

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Angle subtended by a chord AB on the circumference is 90 degree. If radius of this circle is 8 cm. then what is the length of AB?

Options:

16 cm

18 cm

14 cm

12 cm

Correct Answer:

16 cm

Explanation:

Concept Used

When a chord subtended 90 degree angle on the circumference, then this chord is the diameter of the circle.

Diameter = 2 x radius

Calculation

Radius = 8 cm

Diameter = 2 x radius = 2x 8 = 16 cm

Therefore, Diameter is 16 cm.