Question

radius of a circle with center o is 5units.length of a chord pq is 8units, find the distance of the chord from center of the circle
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Answer 1

Answer:

Hence, the distance of the chord from the centre of the circle is 9 units.

Step-by-step explanation:

Length of the chord = 80 units

Radius of the circle = 41 units

To find,

The distance of the chord from the centre of the circle.

Solution,

We can easily solve this mathematical problem by using the following process.

If we take the perpendicular height between the centre of the circle and the midpoint of the chord, as the height of a right angled triangle, then half of the chord will be the height of that right angled triangle and the radius will be the hypotenuse of that right angled triangle.

Base = Half of chord = (80/2) = 40 units.

Hypotenuse = 41 units

Height = Let, x units

According to the data Pythagoras theorem,

(x)² + (40)² = (41)²

x² + 1600 = 1681

x² = 81

x = 9

Hence, the distance of the chord from the centre of the circle is 9 units.

Answer 2

Answer:

3 Unit

Step-by-step explanation:

Given Radius=5

Chord=8

we draw a Perpendicular lines in Chord from Centre O Which divides Chord PQ in two equal Part of 4 metre

After that a right angle triangle ORQ is drawn..

By Using Pythagoras theorem

OR=3 units