We included HMH Into Math Grade 7 Answer Key PDF Module 10 Review to make students experts in learning maths.

Vocabulary

Choose the correct term from the Vocabulary box.

Vocabulary
circumference
cross section
pi (π)
plane

Question 1.
the distance around a circle ____________
Circumference
Explanation:
The circumference is the length of a circle or the intersection of the sphere with any plane passing through its center.

Question 2.
a flat surface that has no thickness and extends forever ____________
Plane
Explanation:
A plane is a flat two-dimensional surface that extends indefinitely

Question 3.
the intersection of a three-dimensional figure and a plane __________
Cross section
Explanation:
A cross-section is a plane section of a three-dimensional object that is parallel to one of its planes of symmetry or perpendicular to one of its lines of symmetry.

Concepts and Skills

Use the circle for Problems 4-5.

Question 4.
Calculate the circumference of the circle in terms of π.
6π.
Explanation:
C = 2πr
C = πd
C =6π.

Question 5.
What is the area of the circle in terms of π?
9π ft
Explanation:
A = πr2
r = d/2 = 6 ÷ 2 = 3 ft
A =  π x 3 x 3
A = 9π

Question 6.
Given that π ≈ 3.14, which values are reasonable for the area of a circle with radius 5 inches? Select all that apply.
(A) 10π in2
(B) 15.7 in2
(C) 25π in2
(D) 31.4 in2
(E) 78.5 in2
Option (E)
Explanation:
r = 5 in
A = πr2
A= 3.14 x 5 x 5
A = 78.5 sq in

Question 7.
Use Tools Given that the circumference of a circle is 8π centimeters, calculate the area of the circle in terms of π. State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
16π sq cm
Explanation:
C = 8π centimeters
A = C2/4π centimeters
A = (8π)2/
A = 8π x 8π ÷ 4π
A = 16π sq cm

Question 8.
The cylinder is being sliced horizontally by a plane as shown. Select all reasonable statements for the figure.

(A) The cross-section is parallel to the base of the cylinder.
(B) The cross-section is a rectangle.
(C) The cross-section is a circle.
(D) The cross-section has the same dimensions as the base of the cylinder.
(E) The cross-section would be the same if the cylinder were sliced vertically instead of horizontally.
Option A; C and D
Explanation:
When the cylinder is sliced horizontally by a plane
The cross-section is parallel to the base of the cylinder.
The cross-section is a circle.
The cross-section has the same dimensions as the base of the cylinder.

For Problems 9-10, calculate the area for the given figure.

Question 9.

(A) 48 m2
(B) 34 m2
(C) 21 m2
(D) 24 m2
Option (C)
Explanation:

Area of a rectangle  ABCD
A = length x width
A = 6 x 3 = 18 sq m
Area of triangle CDE
A = 1/2 x base x height
A = 1/2 x 2 x 3
A = 3 sq m
total are = 18 + 3 = 21 sq m

Question 10.

19 sq cm
Explanation:

Area of triangle green
A = 1/2 x base x height
A = 1/2 x 1 x 4
A = 2 sq cm
Area of a square pink
A = side x side
A = 4 x 4 = 16 sq cm
Area of a square blue
A = side x side
A = 1 x1  = 1 sq cm
Total are of a given figure
A = 2 +16 +1 = 19 sq cm

Question 11.
The new circular community water fountain has a diameter of 192 feet. What is the area of the surface of the circular community water fountain? Use 3.14 for π.