Question

1. the head of a nail is circular, as shown. the head of this nail has a diameter of 6 millimeters.

head of
the nail
which measurement is closest to the area of the head of this nail in square millimeters?
a. 9.42 mm² b. 113.04 mm²
c. 28.26 mm² d. 37.68 mm²

1. a circle has a diameter of 7.6 feet. which measurement is closest to the circumference of the circle in feet?

a. 23.9 ft b. 45.3 ft c. 47.7 ft d. 11.9 ft

Explanation:

Question 33

Step1: Find the radius

The diameter \( d = 6 \) mm, so radius \( r=\frac{d}{2}=\frac{6}{2} = 3 \) mm.

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Using \( \pi\approx3.14 \), we get \( A = 3.14\times3^{2}=3.14\times9 = 28.26 \) \( \text{mm}^2 \).

Step1: Recall the circumference formula

The formula for the circumference of a circle is \( C=\pi d \), where \( d \) is the diameter.

Step2: Substitute the value

Given \( d = 7.6 \) feet and \( \pi\approx3.14 \), so \( C=3.14\times7.6 = 23.864\approx23.9 \) feet.

Answer:

C. \( 28.26\ \text{mm}^2 \)

Question 34