Track / Stage 4 / 217 of 340 #477 of 1964

Problem 477

AMC 12 late, AIME early

Geometry Difficulty 4.8 Find the answer

On a circle with a circumference of 50, six points are evenly distributed. Using these six points as centers, circular arcs are drawn to form a "flower," as shown by the shaded area in the figure. The perimeter of the shaded area is $\qquad$ . $(\pi$ is taken as 3.14).

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$100$

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.