Geometry T7
State whether knowing the length of the sides is sufficient to find the area of each type of regular polygon (TRIANGLE)
yes (3 sides equal 60 degrees)
Dodecagon: # of sides
12 sides
T/F: The length of an apothem in a regular triangle with sides 10 cm long is 5√3 cm.
False (the apothem is the height of a regular triangle)
The polygon's perimeter approaches the circle's _____.
circumference
T/F: The apothem of a regular polygon can be longer than its radius
false (It only extends to the base)
The polygon's apothem approaches the circle's _____.
radius
Find the area of the trapezoid. top 10 ft, bottom 16 ft with a height of 8 ft and side of 10 ft.
104 ft²
Area of a parallelogram. Write in decimal. Top 17 yd. Bottom 15 yd. with an angle of 30°
147.2 yd²
a regular nonagon with sides of 7 m and an apothem of 9.6 m. Use A = 1/2 a p
302.4 m²
A 115° sector of a circle with a radius of 2 in. Use A = 0°/360° (πr²) write in decimal.
4.0 in²
Find area of a equilateral triangle of 4 cm.
4√ 3 cm²
Find area of a triangle with height of 9 in and hypotenuse of 15in
54 in²
A circle whose circumference is 100 ft. Find area. Use c = 2πr. Use A = πr² (Write in decimal)
795.8 ft²
octogon: # of sides
8 sides
Find b1 and b2. Find the area of a triangle with hypotenuse 10 u and 4√5 u plus the height is 8 u.
8 u²
nonagon
9 sided polygon
The formula for the area of the regular polygon becomes _____ which is equivalent to A = π r ².
A = 1/2 r c
State whether knowing the length of the sides is sufficient to find the area of each type of regular polygon (HEXAGON)
No (10 sides can have different lengths of sides changing its degree)
State whether knowing the length of the sides is sufficient to find the area of each type of regular polygon (PENTAGON)
No (5 sides can have different lengths of sides changing its degree)
T/F: A central angle of a square is congruent to each interior angle.
True
T/F: The length of a radius of a square with sides 8 ft. long is 4√2 ft.
True ( 30-60-90 is the same as 4, 4√2, 8)
T/F: A central angle and an interior angle of a regular polygon are supplementary.
True (supplementary adds up to 180 degrees always)
State whether knowing the length of the sides is sufficient to find the area of each type of regular polygon (QUADRILATERAL)
Yes (4 side equal 90 degree rt. angles)
