Answer:
Area of shaded portion is 7.74 square units.
Step-by-step explanation:
Given : a square with side 6 cm
We have to find the area of shaded portion.
Since, the given figure consist of a square with side 6 cm and an quarter circle is made with radius 6 cm.
Area of shaded portion = area of square - area of quarter circle
First we first <u>area of square ,</u>
Area of square = Side × Side
Thus, Area of square = 6 × 6 = 36 square units.
Now, we find <u>area of quarter circle ,</u>
Area of circle
Thus, area of quarter circle is one forth of Area of circle
Area of quarter circle =
Radius = 6
Area of quarter circle =
Using , we get,
Area of quarter circle = square units.
Thus, Area of shaded portion = area of square - area of quarter circle
We get,
Area of shaded portion = 36 - 28.26 = 7.74 square units.