Question

In the following figure, AB is a chord of a circle with O as the centre and BOC as the diameter. If OD is perpendicular to AB such that OD = 6 cm, then AC = ?​

Answer 1

Answer:

AC=2OD

AC=2(6)

AC= 12cm

Step-by-step explanation:

Hope it will help u

Answer 2

Given:

• OD = 6 cm
• OD ⊥ AB

To Find:

• The length of AC.

Solution:

1. From the given figure we get to know that D is the mid-point of the line AB and O is the mid-point of the line BC.

2. ∴ In ΔBAC,

⇒ OD = $\frac{1}{2}$ AC  

3. Mid-point theorem: The line segment joining the mid-point of two sides of a triangle is parallel to its third side and equal to half of the length of its third side.

⇒ AC = 2OD = (2*6)cm ( rearranging the equation)

⇒ AC = 12 cm

∴ The length of AC is 12 cm.