1. Find the circumference of a circle with a diameter of 11 cm to the nearest hundredth. Measurement formula C = pi x diameter
a. 34.54 cm ***
b. 17.27 cm
c. 5.5 cm
d. 33 cm
2. Which of the following is an irrational number?
a. square root 144
b. 0.25
c. square root 17 ***
d. 0.02
3. A circular clock face has a diameter of 7 inches. What is the area of the clock face? Round to the nearest tenth.
a. 38.5 in.^2 ***
b. 11 in.^2
c. 49 in.^2
d. 153.9 in.^2
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1. To find the circumference of a circle with a given diameter, you can use the formula C = π x diameter. Here, the diameter is given as 11 cm.
To solve for the circumference, you can substitute the value of the diameter into the formula and calculate the result.
C = π x 11 cm
Now, you need to multiply π (pi) by 11 cm to get the circumference. The value of π, to the nearest hundredth, is approximately 3.14.
C = 3.14 x 11 cm
Calculating the product:
C = 34.54 cm
Therefore, the circumference of the circle, to the nearest hundredth, is 34.54 cm. Hence, the correct option is a: 34.54 cm.
2. An irrational number is a number that cannot be expressed as a simple fraction or a ratio of two integers. It cannot be written as a terminating or repeating decimal.
Among the given options, the square root of 17 is an irrational number because it cannot be represented by a fraction or a terminating/repeating decimal.
Therefore, the correct option is c: square root 17.
3. The area of a circle can be calculated using the formula A = π x (radius)^2, where the radius is half of the diameter. Here, the diameter of the clock face is given as 7 inches.
First, find the radius by dividing the diameter by 2:
radius = 7 inches / 2 = 3.5 inches
Now, substitute the value of the radius into the formula to calculate the area:
A = π x (3.5 inches)^2
Using a value of π approximately equal to 3.14, we have:
A ≈ 3.14 x (3.5 inches)^2
Calculating the square of 3.5 inches:
A ≈ 3.14 x 12.25 inches^2
Calculating the product:
A ≈ 38.465 inches^2
Rounding to the nearest tenth:
A ≈ 38.5 inches^2
Therefore, the area of the clock face, rounded to the nearest tenth, is 38.5 square inches. Hence, the correct option is a: 38.5 in.^2.
sup
1. yes
2. yes
3. pi*3.5^2 = 38.5 yes