semi-circle

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

Problem 724
Find the coordinates of the centroid of the shaded area shown in Fig. P-724.
 

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.
 

Vertical line, semicircular arc, and 30 deg line

 

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.
 

Semicircle surmounted on top of a right triangle

 

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.
 

025-overlapping-circles.gif

 

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.
 

 
 
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