To find the radius of the circle, 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.

In this case, the chord forms a right-angled triangle with the radius and the line from the center of the circle to the midpoint of the chord. The radius is the hypotenuse, the line from the center to the midpoint of the chord is one side (5 cm), and half the chord is the other side (24 cm / 2 = 12 cm).

So, we can set up the equation as follows:

r^2 = 5^2 + 12^2
r^2 = 25 + 144
r^2 = 169

Taking the square root of both sides gives us the radius:

r = √169
r = 13

So, the radius of the circle is 13 cm.

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To find the radius of the circle, 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.

In this case, the chord forms a right-angled triangle with the radius and the line from the center of the circle to the midpoint of the chord. The radius is the hypotenuse, the line from the center to the midpoint of the chord is one side (5 cm), and half the chord is the other side (24 cm / 2 = 12 cm).

So, we can set up the equation as follows:

r^2 = 5^2 + 12^2
r^2 = 25 + 144
r^2 = 169

Taking the square root of both sides gives us the radius:

r = √169
r = 13

So, the radius of the circle is 13 cm.

Knowee AI · Accepted Answer

To find the radius of the circle, 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.

In this case, the chord forms a right-angled triangle with the radius and the line from the center of the circle to the midpoint of the chord. The radius is the hypotenuse, the line from the center to the midpoint of the chord is one side (5 cm), and half the chord is the other side (24 cm / 2 = 12 cm).

So, we can set up the equation as follows:

r^2 = 5^2 + 12^2
r^2 = 25 + 144
r^2 = 169

Taking the square root of both sides gives us the radius:

r = √169
r = 13

So, the radius of the circle is 13 cm.

If a chord of length 24 cm is drawn at a distance of 5 cm from the center of a circle, what is the radius of the circle? (Your answer will be numerical only.)Answer:Question 4

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