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mr_godi [17]
3 years ago
11

Two non-congruent circles intersect and have a common chord 40 cm

Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

  • 25 cm

Step-by-step explanation:

The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.

As we know the long diagonal bisects the shorter one and they are perpendicular.

<u>Using Pythagorean, lets find the distance between the center of a greater circle and the chord:</u>

  • 52² - (40/2)² = 2304 ⇒ √2304 = 48 cm

<u>The distance from the center of smaller circle and the chord is:</u>

  • 63  - 48 = 15 cm

<u>Now using Pythagorean again, find the radius of the smaller circle:</u>

  • 15² + (40/2)² = 625 ⇒ √625 = 25 cm

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