Multiple choice

Angle subtended by a chord xy on the centre of a circle is 180 degree. If length of this chord is 36 cm, then what will be the radius of this circle?

  1. 24 cm

  2. 18 cm

  3. 27 cm

  4. 21 cm

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

An angle of 180 degrees at the center means the chord is a diameter. The length of the diameter is 36 cm, so the radius is 36 / 2 = 18 cm.

AI explanation

When a chord subtends a 180 degree angle at the center of a circle, the chord acts as the diameter. Because the diameter is given as 36 cm, the radius is half of this length. Therefore, the radius of the circle is 36 / 2 = 18 cm. The result is 18 cm.