# semi-circle

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

## 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.

## 716 Semicircular Arc and Lines | Centroid of Composite Figure

**Problem 716**

A slender homogeneous wire of uniform cross section is bent into the shape shown in Fig. P-716. Determine the coordinates of the centroid.

## 715 Semicircle and Triangle | Centroid of Composite Figure

**Problem 715**

Determine the coordinates of the centroid of the area shown in Fig. P-715 with respect to the given axes.

## 07 Area inside the larger circle but outside the smaller circle

**Problem**

From the figure shown below, DE is the diameter of circle A and BC is the radius of circle B. If DE = 60 cm and AC = 10 cm, find the area of the shaded region.

## 04 Four overlapping semi-circles inside a square

**Example 04**

The figure shown below consists of arcs of four semi-circles with centers at the midpoints of the sides of a square. The square measures 20 cm by 20 cm. Find the area bounded by these circular arcs shaded in the figure shown.