Question : The radius of a circle is 10 cm. What will be the angle made by a chord of length 20 cm on the circumference of this circle?
Option 1: 90°
Option 2: 120°
Option 3: 180°
Option 4: 135°
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Correct Answer: 90°
Solution :
Let the radius of the circle be R cm.
According to the concept,
R = 10 cm
So, diameter = 2 × R = 2 × 10 = 20 cm
According to the question,
The chord has a length of 20 cm.
A diameter divides the circle into two semi-circles, each having an angle of 90° at the circumference of the circle.
So, the angle made by the chord (diameter in this case) at the circumference of the circle is 90°.
Hence, the correct answer is 90°.
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