Question

What is the length of chord which is at distance of 6cm from the center of the circle of radius 10 cm?

Answer 1

Answer:

Distance of chord from the centre of the circle = 6 cm.

Distance of chord from the centre of the circle = 6 cm.Radius of the circle = 10 cm.

Distance of chord from the centre of the circle = 6 cm.Radius of the circle = 10 cm.Length of the chord = 2*[10^2–6^2]^0.5 = 2[100–36]^0.5 = 2*64^0.5 = 2*8 = 16 cm.

Answer 2

Answer:

correct answer is 16cm.

Step-by-step explanation:

distance of chord from centre=6cm

radius of circle=10cm

since,radii of circle are perpendicular to the chord and divides the chord into two equal parts.

therefore,a right angled triangle will form

by applying Pythagoras theorem, we get

10²=(chord/2)²+6²

100-36=(chord/2)²

64=(chord/2)²

8²=(chord/2)²

8=chord/2

chord=16cm