Question

Three friends are sitting at points A, B, and C on a circle as shown below. If the length of OA = 7 cm, find the distance between B and C, provided BOC forms a straight line and O is the centre of the circle.

• A. 7 cm
• B. 14 cm
• C. 3.5 cm

Answer 1

The correct option is B 14 cm

OA, OB, and OC are the radii of the given circle.

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\therefore$ OA = OB = OC = 7 cm

Since it is given that BOC forms a straight line, the distance between B and C is the sum of BO and OC.

$\Rightarrow$ BC = BO + OC
= 7 + 7
= 14 cm