Question

determine the length of a chord which is a distance of the circle of the radius 13 cm​

Answer 1

Answer:

24cm

Step-by-step explanation:

The correct Question is

determine the length of a chord, which is at distance of 5cm from the centre of the circle and the circle is of the radius 13 cm.

Given,

A circle with centre O and Radius = 13cm

also it has a chord 5cm away from the centre

Now, let join OA and OB and draw a perpendicular to the chord AB from the centre O

so, AD = DB

also, OA = OB = 13cm (Radii of the same circle)

and OD = 5cm (away from the centre)

AB = AD + DB

Using pythagoras theorem we get

OD² + DB² = OB²

DB² = OB² - OD²

DB² = 13² - 5² = 169 - 25 = 144

DB = √144 = 12cm

AB = AD + DB

AB = (DB) + DB (because AD = DB)

AB = 2 × DB

AB = 2 × 12 = 24cm

So the length of the chord AB = 24cm