Far Eastern University
Institute of Architecture and Fine Arts
FORMATIVE ASSESSMENT 4 : Remedial Assessment
NAME: _____________________________________ Subj & Sec:______________ Date/Time:________________
In figure 1, Two overlapping semicircles are inscribed in a square with side of
20shown.
1. What is the area of the portion of a square occupied by semicircles in
cm2?
Fig 1
Fig 2
Fig 3
I.
In Fig 1. Two overlaping semicircles are included in a square with side of 10 cm as shown
1.What is the area of the portion of a square occupied by semicircle in cm2 ?
2. What is the area of the shaded region in cm2?
The center C of the larger circle lies on another circle I which the diameter coincides with chord AB
of the larger circle as shown in Fig 2. If AB is 15 cm,
3.What is the diameter of the larger circle?
4. What is the area of the larger circle which is outside the smaller circle in cm2?
5. What is the area of the shaded region in cm2?
Question
Answer
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Two circles with centers A and B are externally tangent to each other as shown in Fig. 3.
Lines AD and CD are tangents to circle B at points E and C and intersect at D.
Diameter of circle A is 6m while diameter of circle B is 8m.
6. How long is line CD?
7. What is the area of triangle ACD?
8. What is the area bounded by lines CA, AE and arc EC?
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10.
9.What is the area enclosed by line CD, DE and arc EC?
II. An equilateral triangle of side 10cm inscribed and circumscribed about a circle. The area bounded by two concentric circles is called annulus.
10.What is the area of the annulus? Draw the figure to analyze it better.
SOLUTION:
ARC1101 –SOLID MENSURATION
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Far Eastern University
Institute of Architecture and Fine Arts
ARC1101 –SOLID MENSURATION
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