1 The line drawn from the centre of a circle perpendicular to a chord bisects the chord. 8.2 Step 1: Identify radii and given lengths. Given: Circle with centre O, OB = 8 units, AB = BC = 10 units. E

8.1 The line drawn from the centre of a circle perpendicular to a chord bisects the chord. 8.2 Step 1: Identify radii and given lengths. Given: Circle with centre O, OB = 8 units, AB = BC = 10 units. E is the midpoint of AC. OE = y, AE = x. Since O is the centre and B is on the circle, OB is the radius. Therefore, OA = OC = OB = 8 units (radii of the same circle). Step 2: Establish perpendicularity and collinearity. In OAC, OA = OC = 8 units,

1 The line drawn from the centre of a circle perpendicular to a chord bisects the chord. 8.2 Step 1: Identify radii and given lengths. Given: Circle with centre O, OB = 8 units, AB = BC = 10 units. E

8.1 The line drawn from the centre of a circle perpendicular to a chord bisects the chord. 8.2 Step 1: Identify radii and given lengths. Given: Circle with centre O, OB = 8 units, AB = BC = 10 units. E is the midpoint of AC. OE = y, AE = x. Since O is the centre and B is on the circle, OB is the radius. Therefore, OA = OC = OB = 8 units (radii of the same circle). Step 2: Establish perpendicularity and collinearity. In OAC, OA = OC = 8 units,

Solved: 1 The line drawn from the centre of a circle…

Step-by-step solution

2 steps

Part 8.1

The line drawn from the centre of a circle perpendicular to a chord bisects the chord.

Part 8.2· 2 steps

Identify radii and given lengths.
Given: Circle with centre O, $OB = 8$ units, $AB = BC = 10$ units. E is the midpoint of AC. $OE = y$ , $AE = x$ .
Since O is the centre and B is on the circle, $OB$ is the radius. Therefore, $OA = OC = OB = 8$ units (radii of the same circle).
Establish perpendicularity and collinearity.
- In $\triangle OAC$ , $OA = OC = 8$ units,

1 The line drawn from the centre of a circle perpendicular to a chord bisects the chord. 8.2 Step 1: Identify radii and given lengths. Given: Circle with centre O, OB = 8 units, AB = BC = 10 units. E

Step-by-step solution

Part 8.1

Part 8.2· 2 steps

Identify radii and given lengths.

Establish perpendicularity and collinearity.

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