The length of an arc of a circle is equal to 1/5 ofthe circumference of the circle. If the length of
the arc is 2π, the radius of the circle is
Answers
The radius of the circle is 5 units.
What is a circle?
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The arc of a circle is defined as the part or segment of the circumference of a circle.
Let r be the radius of the circle.
The length of an arc of a circle = 2π
Circumference of the circle = 2πr
The length of an arc of a circle is equal to 1/5 of the circumference of the circle
⇒
⇒
⇒ r = 5 units
Hence we can conclude that the radius of the circle is 5 units.
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circumference of circle = 5 . 2π = 10π since the arc is 1/5 of the circumference
C =2πr
r = C/2π = 10π/2π = 5
Related Questions
What's the perimeter of a regular heptagon if one side measures 3 inches? A. 10 in. B. 21 in. C. 18 in. D. 11 in.3. A polygon that has all sides the same measure and all angles the same measure is called what?A. Irregular polygonB. Convex polygon C. Regular polygon D. Concave polygon 4. The gazebo in the park is an octagon. Each side of the gazebo is 4 feet long. What is the perimeter of the gazebo?A. 24 feet B. 36 feetC. 30 feetD. 32 feet5. Which of the following best describes a plane?A. The surface of a flat tableB. A curve in a roadC. The edge of a desk D. The point of intersection of two walls6. Two angles are supplementary. The first angle measures 40°. What's the measurement of the second angle?A. 120° B. 50° C. 140° D. 60° 7. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters?A. 6 centimetersB. 1.5 centimetersC. 3 centimetersD. 4 centimeters 8. The Pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the Pentagon?A. 2,663,476.74 ft. B. 3,684 ft. C. 5,526 ft. D. 4,605 ft.
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Answers
Answer 1 pound of bananas costs $0.56
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Answers
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Answer: 5.50
Step-by-step explanation:
1.50 + 1.00 = 2.50 . 8.00 - 2.50 = 5.50
Answers
Answer:
1 Coin is a quarter and thats 25c then another coin is also a quarter and thats 50c so he has 3 pennis which makes it 5 coins and that gives you 53c
Step-by-step explanation:
Answer:
2 quarters and 3 pennies
Step-by-step explanation:
1 quarter= 25 cents
1 penny= 1 cent
if it were 1 quarter and 4 pennies, it would equal 29 cents, which is too little. if it were 3 quarters and 2 pennies, it would equal 77 cents, which is too much. But 2 quarters and 3 pennies equal exactly 53 cents.
Answers
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft
= 20 ft
After 2 second Pattie runs = (20+5)ft
= 25 ft
After 3 second Pattie runs = (25+5) ft
= 30 ft
After 4 seconds Pattie runs = (30+5) ft
= 35 ft
After 5 seconds Pattie runs = (35+5) ft
= 40 ft
After 6 seconds Pattie runs = (40+5) ft
= 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
= 16 ft
After 3 second Keith runs = (16+8) ft
= 24 ft
After 4 second Keith runs = (24+8) ft
= 32 ft
After 5 second Keith runs = (32+8) ft
= 40 ft
After 6 second Keith runs = (40+8) ft
= 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.
Answers
a = c ÷ 2
b = P - a - c
The perimeter is the sum of all sides of a polygon. The perimeter of the triangle is:
P = a + b + c
where
P - perimeter of the triangle,
a, b, c - sides of the triangle.
It is given:
P = 14.5 cm
c = 6.2 cm
If, the longest side (c) is twice that of the shortest side (a), then
c = 2a
Therefore, the equation that can be used to find the length of the shortest side is a = c ÷ 2.
⇒ a = c ÷ 2 = 6.2 cm ÷ 2
⇒ a = 3.1 cm
By knowing two sides (c and a) and perimeter (P), we can calculate the length of the third side (b).
If P = a + b + c, then the equation that can be used to find the length of the side b is b = P - a - c.
⇒ b = P - a - c = 14.5 cm - 6.2 cm - 3.1 cm
⇒ b = 5.2 cm
Final answer:
The equation to find the side lengths of the triangle is x + 2x + (14.5 - x - 2x) = 14.5, using x to represent the shortest side.
Explanation:
The subject of this question is a scalene triangle. A scalene triangle is a triangle in which all sides have different lengths. In this specific triangle, we are given the perimeter (which is 14.5 cm), and we know that the longest side is twice the length of the shortest side. The longest side's length is given as 6.2 cm.
Let's denote the shortest side as x. If the longest side is twice that length, we can express it as 2x. Now, the remaining side can be found by subtracting x and 2x from the total perimeter: 14.5 - x - 2x. So our equation becomes x + 2x + (14.5 - x - 2x) = 14.5.
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Is it rational or irrational?
Answers
Irrational numbers can be written as a decimal but not a fraction. It has an endless non-repeating digits to the right of the decimal point.
Rational numbers are those that can be written as a ratio. Meaning it can be written as a fraction where both numerator and denominator are whole numbers.
Is a irrational number, because an irrational number is a number that con ONLY be written as a decimal, and not as a ratio/fraction and this number CAN'T be written as a ration/fraction.
On the other hand rational means that a number can be written as a ratio/fraction AND a decimal.
So, this is an irrational number.
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