Question

name:

1. vocabulary how are the circumference and diameter of a circle related? lesson 7-1 7.gr.1.3

mid - topic checkpoint
topic 7

1. pierce draws a circle with a radius of 3 centimeters. gianna draws a circle with a radius that is twice as long as the radius of pierce’s circle. how will the circumference of gianna’s circle compare with the circumference of pierce’s circle? lesson 7-1 7.gr.1.3

the circumference of gianna’s circle is ____ times the circumference of pierce’s circle.

1. find the area of pierce’s circle and gianna’s circle in terms of π. how do these areas compare? lessons 7-2 7.gr.1.4
2. what is the area of the trapezoid represented by the scale drawing? lesson 7-3 7.gr.1.5

(there is a scale drawing of a trapezoid with some length markings and the scale 1 in. = 5 ft)

1. the patio in a blue print is 5 inches long. the scale of the blue print is 0.5 inches is equal to 2.5 feet. how long is the actual patio? lesson 7-3 7.gr.1.5

Explanation:

Let's solve question 5:

Step 1: Find the scale factor

The scale is 0.5 inches = 2.5 feet. So the scale factor (how many feet per inch) is $\frac{2.5}{0.5}=5$ feet per inch.

Step 2: Calculate the actual length

The blueprint length is 5 inches. Multiply by the scale factor: $5\times5 = 25$ feet.

Answer:

The actual patio is 25 feet long.