Plane Geometry Flashcards
The sum of interior angles of a regular polygon is 1260 degrees. Find the area of the polygon if its perimeter is 45 centimeters.
154.55 cm2
Determine the area of a regular polygon whose number of diagonals is 5 and its apothem measures 4.
58.12 square units
The corresponding sides of two similar polygons are 20 and 18. If the area of the larger polygon measures 360cm2, find the sum of the areas of two similar polgyons.
651.6 cm2
Two sides of a triangle measure 8 m and 12 m and the angle opposite the 8-m side is 30 degrees. Determine the area of the triangle.
47.05 m2
Given two similar triangles whose one triangle has sides 10 cm, 24 cm, and 30 cm. find the area of the other triangle given that its smallest side measure 6 cm.
38.21 cm2
The ratio of the interior angle of a triangle is 3:4:5. If its perimeter measures 30 cm, find its area.
41.29 cm2
If the sides of the parallelogram and an included angle are 8m, 12m, and 120° respectively, find the length of the shorter diagonal and the area of the parallelogram.
ds = 10.58 m
Area of triangle = 83.14 m2
The side of a square is x meters. The midpoints of its sides are joined to form another square whose area is 16 m2. Find the area of the larger square.
AL = 32 m2
An isosceles trapezoid has an area of 40 m2 and an altitude of 2 m. Its two bases have a ratio of 2 is to 3. What are the lengths of the bases and one of the diagonal of the trapezoid?
Lengths of the bases: 24m and 16m
d = 20.1 m
A vacant lot has sides 8m, 12m, 18m, and 20m. If the sum of the opposite angles is 230°, find the area of the lot.
170.79 m2
The circle of radius 18 cm is unbent to form an arc subtending a central angle of 300°. Find the radius of the arc.
21.6 cm
The chord that cuts the circle into two segments is 5 cm from the center. The area of the circle is 1018 cm2. Find the ratio of the segments formed.
0.48
A circle has two chords, AB and CD, which intersects at E. If AB measures 15 cm, and EC and ED measure 5cm and 6cm respectively, determine the length of AE if AE > EB.
12.62 cm
Two points on a circle is subtended by another point on a circle with an angle of 40°. IF the radius of a circle is 5, what is the distance between the two points along the circle and what is the shortest distance between them?
Distance between the two points along the circle: 6.98
Shortest distance between the two points: 6.76
The sides of a triangle are 10, 24, and 30. Determine the radius of the circumscribing circle.
16.96
The sides of a triangle are 10, 24, and 30. Determine the radius of the inscribed circle.
3.32
A triangle has sides equal to 10m, 24m, and 30m, respectively. Find the radius of the circle which is escribed outside the triangle if it is tangent to the 24m side.
13.27 m
