Arc And Lines

Geometry Level 1

A rectangle $ABCD$ is inscribed in a quarter circle. If point $B$ is the center of the circle, find the length of $AC$ (in cm).

5\sqrt{5}

5 10

5\sqrt{3}

1 solution

Mateo Matijasevick
Jun 7, 2016

Relevant wiki: Circles Problem Solving - Basic

$AC=10$ , because $BD=AC$ , as $ABCD$ is a rectangle, and $BD= 10$ , as it is a radii of the circle.

That's a much easier solution than I used, damn

Tom Azevedo - 4 years, 11 months ago

So why was 10 cm wrong?

Mike Fratto - 4 years, 9 months ago

Easier way to look at this... the hypotensuse of the right angle rectangle is the same no matter if it's from top left to the bottom right, or from top right to the bottom left. If u look at it from the 2nd perspective, u will see that it is the radius. And the radius is already given.

J H - 4 years, 9 months ago

Arc And Lines

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