Select all the statements that are true.
The radius of a circle is twice its diameter.
To find the diameter of a circle, divide its circumference by π.
The circumference of a circle is greater than its diameter.
The circumference of a circle is twice its radius.
To find the diameter of a circle, multiply its radius by two.
No, only one triangle can be drawn with the given conditions.
This is because in a triangle, the length of each side and the measure of each angle determines the shape and size of the triangle. Two sides and the angle between them are known as the SSS (side-side-side) condition of a triangle.
In the given conditions, we have two sides of length 5 inches and 6 inches and the included angle is 45°. This information determines the shape and size of the triangle uniquely, so only one triangle can be drawn with these conditions.
Therefore, no matter how we arrange these sides and angle, only one triangle can be formed.
Statements 2 and 5 are true.
Why?? Explain!!!!
Statement 2, "To find the diameter of a circle, divide its circumference by π," is true because the formula for finding the circumference of a circle is C=πd, where C is the circumference and d is the diameter. Solving this formula for d, we get d=C/π, which means that to find the diameter, we must divide the circumference by π.
Statement 5, "To find the diameter of a circle, multiply its radius by two," is also true. The definition of the diameter of a circle is the distance across the circle passing through its center. Since the radius of a circle is the distance from the center to any point on the circle's edge, multiplying the radius by 2 gives us the diameter. Therefore statement 5 is also true.
The other statements are false. The first statement is false because the diameter of a circle is twice its radius, not the other way around. The third statement is false because the circumference of a circle is equal to π times its diameter, not greater than it. The fourth statement is false because the circumference of a circle is equal to 2π times its radius, not twice its diameter.
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You're welcome! It's my pleasure to help you out!
What is the diameter of a circle with a circumference of 84.78 inches? Use 3.14 for π. Enter your answer in the box.
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
We are given that the circumference is 84.78 inches, and π is approximately 3.14.
Substituting these values into the formula, we get:
84.78 = 3.14d
Dividing both sides by 3.14, we get:
d = 84.78/3.14
Simplifying this expression, we get:
d ≈ 27
Therefore, the diameter of the circle is approximately 27 inches.
So the diameter is 27?? Are you sure!!!!!!!!!!!!
Yes, that's correct!
We know that the circumference of the circle is 84.78 inches, and we use the formula for the circumference of a circle, which is:
C = πd
where C is the circumference, and d is the diameter.
Substituting the given values, we get:
84.78 = 3.14d
Dividing both sides by 3.14, we get:
d ≈ 27
So, the diameter of the circle is approximately 27 inches.