geometry test
Area of a parallelogram-__________
Area of a trapezoid-__________
Area of a circle-__________
Area of a triangle-__________
1.) (Parallelogram) Find height when base is 7ft and area is 56ft squared.
2.)(Parallelogram) Find base when h=12 and A=216in squared.
3.)(Triangle) Find base when h=9ft and A=35ft squared.
4.)(Trapezoid) Find height when A=25m squared, b1=3m, and b2=7m.
5.)(Circle) Find radius when A=314ft squared. (Round to the nearest whole number).
6.) Base=12ft
Height=12ft
7.)In a quadrilateral two angles measure 66 degrees and 54 degrees. The other two are equal in measurement. Find the other two.
8. Circle- Area=453ft squared Find the radius
In order to solve geometric word problems, you will need to have memorized some geometric formulas for at least the basic shapes (circles, squares, right triangles, etc). You will usually need to figure out from the word problem which formula to use, and many times you will need more than one formula for one exercise. So make sure you have memorized any formulas that are used in the homework, because you may be expected to know them on the test.
Some problems are just straightforward applications of basic geometric formulae.
The radius of a circle is 3 centimeters. What is the circle's circumference?
The formula for the circumference C of a circle with radius r is:
C = 2(pi)r
...where "pi" (above) is of course the number approximately equal to 22 / 7 or 3.14159. They gave me the value of r and asked me for the value of C, so I'll just "plug-n-chug":
C = 2(pi)(3) = 6pi
Then, after re-checking the original exercise for the required units (so my answer will be complete):
the circumference is 6pi cm.
Note: Unless you are told to use one of the approximations for pi, or are told to round to some number of decimal places (from having used the "pi" button on your calculator), you are generally supposed to keep your answer in
Area of a trapezoid-__________
Area of a circle-__________
Area of a triangle-__________
1.) (Parallelogram) Find height when base is 7ft and area is 56ft squared.
2.)(Parallelogram) Find base when h=12 and A=216in squared.
3.)(Triangle) Find base when h=9ft and A=35ft squared.
4.)(Trapezoid) Find height when A=25m squared, b1=3m, and b2=7m.
5.)(Circle) Find radius when A=314ft squared. (Round to the nearest whole number).
6.) Base=12ft
Height=12ft
7.)In a quadrilateral two angles measure 66 degrees and 54 degrees. The other two are equal in measurement. Find the other two.
8. Circle- Area=453ft squared Find the radius
In order to solve geometric word problems, you will need to have memorized some geometric formulas for at least the basic shapes (circles, squares, right triangles, etc). You will usually need to figure out from the word problem which formula to use, and many times you will need more than one formula for one exercise. So make sure you have memorized any formulas that are used in the homework, because you may be expected to know them on the test.
Some problems are just straightforward applications of basic geometric formulae.
The radius of a circle is 3 centimeters. What is the circle's circumference?
The formula for the circumference C of a circle with radius r is:
C = 2(pi)r
...where "pi" (above) is of course the number approximately equal to 22 / 7 or 3.14159. They gave me the value of r and asked me for the value of C, so I'll just "plug-n-chug":
C = 2(pi)(3) = 6pi
Then, after re-checking the original exercise for the required units (so my answer will be complete):
the circumference is 6pi cm.
Note: Unless you are told to use one of the approximations for pi, or are told to round to some number of decimal places (from having used the "pi" button on your calculator), you are generally supposed to keep your answer in