# Intersections 68784

The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places.

### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**algebra**- expression of a variable from the formula
**arithmetic**- square root
**planimetrics**- Pythagorean theorem
- right triangle
- triangle

#### Units of physical quantities:

#### Grade of the word problem:

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