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A subway track must pass through a cylindrical tunnel The tunnel is 6 m in diameter How wide should the track bed be so that the maximum height at the centre of the tracks is 4.5 m?
Wiki User
∙ 11y ago
2.6m
Wiki User
∙ 11y ago
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What is the radius of a circle with a 3cm diameter?
The radius would be HALF the diameter, making the answer 1.5cm ! The diameter of a circle is the distance across it, passing through the centre. The radius is the distance from the centre to the edge.
How do you mark equidistant points on circle?
It is the radius from the centre to the circumference or the diameter passing through the centre to both sides of the circumference
What is the diameter of 125 feet?
A diameter of 125 feet is equivalent to saying that the distance from one side of a circle (or sphere), through its centre, to the other side is 125 feet.
Difference between diameter and circumference?
A diameter is a straight line from one side of a circle, through the centre, to the other side. A circumference is the curved line forming the boundary of a circle.
How do you solve A subway track must pass through a cylindrical tunnel The tunnel is 6 m in diameter How wide should the track bed be so that the maximum height at the centre of the tracks is 4.5?
Draw a vertical diameter of a circle of 6m diameter. At a point 4.5 m from the top (T) draw a chord perpendicular to the diameter. Let the ends of the chord be A and B and the centre of the circle be O and the centre of the chord be C. Then ∠AOB = 2∠ATB (the angle at the centre is twice the angle at the circumference). If we just look at (say) the left hand side of this figure then ∠AOC = 2∠ATC Tan AOC = AC/1.5 and Tan ATC = AC/4.5. Using the Identity, tan2A = 2tanA / (1 - tan2A) Thus, AC/1.5 = 2AC/4.5(1 - [AC/4.5]2) (1 - [AC/4.5]2) = 2/3 [AC/4.5]2) = 1/3 AC2 = 20.25/3 = 6.75 AC = √6.75 = 2.60 (2dp) Thus AB = 2AC = 5.20 m....which is the width of the track bed.
What is the radius of a circle with a 3cm diameter?
The radius would be HALF the diameter, making the answer 1.5cm ! The diameter of a circle is the distance across it, passing through the centre. The radius is the distance from the centre to the edge.
What is a chord that passes through the centre of the circle called?
It is the circle's diameter
What is the distance that passes through the centre of a circle called?
It is the diameter of the circle.
Why is the radius of the circle half the diameter?
The radius of a circle is the distance from the centre to the rim. The diameter is the distance fron rim to rim passing through the centre point. It therefore follows that the radius is half the diameter
If the radius of a circle is 18 inches what is the diameter?
36 inches. The radius is the distance from the centre to the outside or circumference and trhe diameter is the distance across passing through the centre. Therfore the diameter is twice the distance of the radius.
Why are radius and diameter different?
The radius is half of the diameter. The radius of a circle is the distance from the centre to the circumference. The diameter of a circle is the length of a straight line from one point on the circumference to another, passing through the centre of the circle.
The distance from the edge of a circle to the edge going through the centre is called?
The diameter.
How do you mark equidistant points on circle?
It is the radius from the centre to the circumference or the diameter passing through the centre to both sides of the circumference
How do you find the center of a circle with the diameter of 5 meters?
The diameter of a circle is a straight line drawn from edge to edge passing through the centre. Therefore, the centre of the circle is half the diameter: 5/2=2.5 metres.
If a circle has a diameter of 15 inches can it also have a chord of 20 inches and how?
No. A chord is a straight line drawn between any two points on the circumference of a circle. The longest chord is when the points are on opposite sides of the centre of the circle (and passes through the centre of the circle). The straight line which joins the points on opposite sides of the centre (through the centre) is called the diameter of the circle. Therefore the longest chord possible is the diameter of the circle. A circle with a diameter of 15 in can have a chord with a maximum length of 15 in.
What is a diameter of a circle made up off?
The diameter of a circle is twice its radius and spans the circle passing through its centre.
What is a straight line going across a circle from side to side through the centre?
diameter
