Track / Stage 4 / 193 of 340 #453 of 1964

Problem 453

AMC 12 late, AIME early

Geometry Difficulty 4.8 Find the answer

1. 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 and solution reproduced as published; topic, difficulty and ordering added by this site.