Solve the problem. Use π = 3.14.
The Bay area of California was shaken by an earthquake on October 17, 1989. The epicenter was located at Loma Prieta. The diameter of the earthquake's horizontal waves that shocked the area measured about 120 miles. How many square miles were affected by this earthquake?
Blank Space__________square miles
To find the area affected by the earthquake, we need to calculate the area of a circle with a diameter of 120 miles.
The formula for the area of a circle is: A = πr^2, where A is the area and r is the radius.
Since the given diameter is 120 miles, the radius is half of that, which is 60 miles.
Plugging in the values into the formula, we get: A = 3.14 * 60^2.
Calculating the expression, we have: A = 3.14 * 3600.
Therefore, the area affected by the earthquake is approximately 11,304 square miles.
Question 2 options:
Is this statement true or false?
To find the circumference of a circle, multiply π by the diameter.
True.
Question 3 options:
Is this statement true or false?
Circumference is the distance around the outside of a circle.
True.
Find the area. Use π = 3.14.
3m
To find the area of a circle with a radius of 3m, we can use the formula A = πr^2.
Plugging in the values, we have A = 3.14 * 3^2.
Calculating the expression, we have A = 3.14 * 9.
Therefore, the area of the circle is approximately 28.26 square meters.
Question 5 options:
Solve the problem.
Find the circumference of a trampoline with a diameter of 14 feet. Use π = 3.14.
To find the circumference of a circle, we can use the formula C = πd, where C is the circumference and d is the diameter.
Given that the diameter of the trampoline is 14 feet, we can plug in the values into the formula:
C = 3.14 * 14
Calculating the expression, we have C = 43.96 feet.
Therefore, the circumference of the trampoline is approximately 43.96 feet.
Find the area. Use π = 3.14.
2cm