Circle geometry

Use the measurements to find the circle that fits. Work out its radius, then choose from five answers.

Turn the distance between parallel walls into a radius.

6 questions · 5 choices · No time limit

Example
Unscored example

Gap 12. What is the radius?

Circle-fitting geometryA circle touches two parallel horizontal walls, 12 units apart. Its center is on the dashed vertical guide. Find its radius. Diagram not to scale. r = ?. 12r = ?12

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An example to explore. No score or practice round is recorded.

How to play

A tangent touches a circle at one point. Use the labeled measurements, not the apparent size of the drawing. All lengths in a question use the same unit.

Your first answer counts. Read the worked solution before moving on. Complete all six questions to save a result. Solving time excludes feedback and time spent in a hidden tab.

Later levels use the Pythagorean theorem, square roots and circle tangency. Learn a method: Connect the circle centers.

The levels increase the size or complexity of the problems. They have not been calibrated against human performance and do not measure IQ.

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About this practice

Use the measurements to find the circle that fits. Work out its radius, then choose from five answers.

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