To solve this problem, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Here, the radius of the circle is the hypotenuse, the distance from the center of the circle to the chord is one side of the triangle, and the half-length of the chord is the other side of the triangle.

Given:
Radius (r) = 10 cm
Distance from center to chord (d) = 6 cm

We need to find the half-length of the chord (a).

According to the Pythagorean theorem:

a = sqrt(r^2 - d^2)
a = sqrt((10 cm)^2 - (6 cm)^2)
a = sqrt(100 cm^2 - 36 cm^2)
a = sqrt(64 cm^2)
a = 8 cm

Since a is the half-length of the chord, the full length of the chord is 2a = 2*8 cm = 16 cm.

So, the length of the chord is 16 cm (Option B).

Question

To solve this problem, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Here, the radius of the circle is the hypotenuse, the distance from the center of the circle to the chord is one side of the triangle, and the half-length of the chord is the other side of the triangle.

Given:
Radius (r) = 10 cm
Distance from center to chord (d) = 6 cm

We need to find the half-length of the chord (a).

According to the Pythagorean theorem:

a = sqrt(r^2 - d^2)
a = sqrt((10 cm)^2 - (6 cm)^2)
a = sqrt(100 cm^2 - 36 cm^2)
a = sqrt(64 cm^2)
a = 8 cm

Since a is the half-length of the chord, the full length of the chord is 2a = 2*8 cm = 16 cm.

So, the length of the chord is 16 cm (Option B).

Knowee AI · Accepted Answer

To solve this problem, we can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Here, the radius of the circle is the hypotenuse, the distance from the center of the circle to the chord is one side of the triangle, and the half-length of the chord is the other side of the triangle.

Given:
Radius (r) = 10 cm
Distance from center to chord (d) = 6 cm

We need to find the half-length of the chord (a).

According to the Pythagorean theorem:

a = sqrt(r^2 - d^2)
a = sqrt((10 cm)^2 - (6 cm)^2)
a = sqrt(100 cm^2 - 36 cm^2)
a = sqrt(64 cm^2)
a = 8 cm

Since a is the half-length of the chord, the full length of the chord is 2a = 2*8 cm = 16 cm.

So, the length of the chord is 16 cm (Option B).

The length of a chord which is at a distance of 6 cm from the centre of a circle of radius 10 cm isA 8 cm B 16 cm C 12 cm D 20 cm

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