Chapter 11 Test Extra Practice
1. Find the area of a circle if its circumference is 16 .
( 64 )
2. Find the area of a triangle whose sides are 25, 25,
and 14.
(168)
3. Find the perimeter of a square whose area is 81. (36)
4. If the diagonals of a rhombus are 10 and 24, find the
area of the quadrilateral formed by joining midpoints
of consecutive sides of the rhombus.
(A=60)
5. The height of a trapezoid is 10, and the trapezoid’s
area is 130. If one base is 15, find the other base.
(11)
6. Find the area of ABC with vertices A(1,3), B(7,3),
and C (4, 1).
(12)
7. Find the area of a parallelogram with sides 6 and 7
and included angle 45.
( 21 2 )
8. Find the area of a regular hexagon whose side is 7.
( 1472 3
)
9. TRAP is an isosceles trapezoid with T (0, 18), A(12, 5),
and P (0,0). Find the coordinates of R and the area of
TRAP.
( R(12,13); A = 156)
10. Cal is buying carpet that costs $13.65/yd2. What will
it cost for Cal to carpet the room and halls shown?
($553.58)
3 ft
14 ft
(57)
P
3
5
Q
4
R
Chapter 11 Test Study Guide (11.1-11.7)
Part I (5 Questions) – Sometimes, Always, Never


Similar-Figures Theorem
The area of a triangle. Review the Midsegment
Theorem.
 The area of a rectangle
 The area of a circle
 The area of a figure if it is reflected over one of the
axes in the coordinate plane
Part II (20 questions) – Calculations
20 ft
24 ft
17. Find the area of PQR.
10 ft
10 ft
5 ft
15 ft
11. A regular polygon has area120 and perimeter 48.
Find the radius of the inscribed circle.
(5)
12. Find the area of a segment of a circle with radius 18
that is bounded by a 30 arc and a chord of the
circle.
(27  81)
13. Find the area of a circle whose diameter has
endpoints (4,8) and (5, 4).
( 225
4 )
14. The length of a rectangle is 3 more than twice its
width, and the area is 35. Find its diagonal. ( 449
2 )
15. Find the area of a triangle whose sides 4, 6, and 8.
( 3 415 )
Then find the altitude to the longest side.
16. Find the area of an equilateral triangle whose height
is 9.
( 27 3 )






Know ALL the formulas to find areas
Review the Pythagorean Theorem and Triples
Review 30-60-90, 45-45-90 special triangles ratios.
Review Distance Formula
Review Side-Splitter Theorem
Practice all problems in the Extra Practice Set and the
sample problems in the notes!
Part III (5 Questions)
 Find the ratio of the areas indicated in the given
diagrams
 Know Theorems 11.7 and 11.7.1
 Review Angle-Bisector Theorem
 Apply Hero’s Formula