# quarter circle

## 724 Rectangle, semicircle, quarter-circle, and triangle | Centroid of Composite Area

## 723 Rectangle, quarter circle and triangle | Centroid of Composite Area

**Problem 723**

Locate the centroid of the shaded area in Fig. P-723.

## 722 Semicircle and quarter circle | Centroid of composite area

**Problem 722**

Locate the centroid of the shaded area in Fig. P-722 created by cutting a semicircle of diameter r from a quarter circle of radius r.

## 706 Centroid of quarter circle by integration

**Problem 706**

Determine the centroid of the quarter circle shown in Fig. P-706 whose radius is r.

## Example 7 | Area inside the square not common to the quarter circles

**Problem**

The figure shown below is composed of arc of circles with centers at each corner of the square 20 cm by 20 cm. Find the area inside the square but outside the region commonly bounded by the quarter circles. The required area is shaded as shown in the figure below.