Geometry Chapter 10 Test Answers

Questions and Answers

The regular polygon has a radius of 11 m. Each angle measure is?

22.5, 45

Find the probability that a point chosen at random will lie in the shaded area.

0.32

Find the area of the shaded portion of the figure where each vertex of square ABCD is at the center of a circle.

(4 - pi) in²

What is the result of 42 * 32?

1344 in² Signup and view all the answers

Calculate 13 * 9 then 1/2(5)(11).

144.5 cm² Signup and view all the answers

What is the height (H) in the parallelogram if 24 * 36 = 27 * H?

32 Signup and view all the answers

Calculate the area using 1/2(8+16)(3+3) for a kite.

72 ft² Signup and view all the answers

Find the measure of ABC if it equals 50 + 35.

85 Signup and view all the answers

Find the area of the shaded region and leave your answer in terms of pi.

(120pi + 36/3) m² Signup and view all the answers

Find the length of XPY, leaving your answer in terms of pi.

18pi m Signup and view all the answers

Hexagon has a side of 3 cm. Find its area.

13.5/3 cm² Signup and view all the answers

What are the parameters for a deck hypotenuse of 30?

p=21.2, apothem=21.2, a=1797.76 Signup and view all the answers

What is the average height of a basketball hoop?

4.2 Signup and view all the answers

Study Notes

Regular Polygon Properties

A regular polygon with a radius of 11 m has angles and measures calculated as follows:
- Angle measures: 22.5°, 45°
- Linear measures: 8.3 m, 6.9 m
- Area: 229 m²

Probability and Area Calculations

Probability of a randomly selected point lying in the shaded area equals 0.32.
The area of the shaded portion of a figure defined by square ABCD, with circles at each vertex, is calculated as (4 - π) in².

Basic Arithmetic in Geometry

Area of a rectangle computed as 42 * 32 results in 1344 in².
Area calculation combining a rectangular and triangular section: 13 * 9 followed by 1/2(5)(11) gives 144.5 cm².
For a parallelogram, the equation 24 * 36 = 27 * H solves for height H at 32.

Area of Kite and Other Irregular Shapes

The area of a kite calculated using the formula 1/2(8+16)(3+3) results in 72 ft².
The total measure of angle ABC calculated as 50 + 35 results in 85°.
The shaded area expressed in simplest radical form is (120π + 36/3) m².

Length and Dimensions of Shapes

The length of the arc XPY is expressed in terms of π as 18π m.
For a hexagon with a side length of 3 cm, the area is calculated as 13.5/3 cm².
A deck with a hypotenuse measuring 30 units has a perimeter p of 21.2, an apothem of 21.2, and an area of approximately 1797.76.

Miscellaneous Geometry Concepts

The density or a numerical concept related to basketball is simply represented as 4.2.

Description

This quiz covers key concepts from Geometry Chapter 10, including polygon properties, angle measures, and area calculations. Utilize the provided flashcards to reinforce your understanding of these essential geometry principles. Suitable for exam preparation or review.