Toward June
Sign in
← All challenges

Grade 7

A petal in the corner

Two semicircles drawn inward on adjacent edges of a square overlap in a petal at the corner. The shaded region is whatever neither covers -- quartering the square turns it into small squares and quarter-circles.

  1. 1

    Shaded area

    12 cm12 cm
    A 12 cm by 12 cm square. One semicircle is drawn inside the square with the top edge as its diameter, and another with the left edge as its diameter. The two semicircles meet at the top-left corner and cross once more inside the square. The part of the square covered by neither semicircle is shaded. What is the shaded area?