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An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this?
Most Upvoted Answer
An arc of length equal to the circumference of the circle subtends an ...
Solution:
Let us assume that the circumference of the circle is C and the radius of the circle is r.
Step 1:
The circumference of the circle is given by:
C = 2πr
Step 2:
Let us assume that the arc of length equal to the circumference of the circle subtends an angle θ.
Step 3:
We know that the length of the arc of a circle is given by:
Length of arc = (θ/2π) × C
Step 4:
Substituting the value of C from Step 1 in the above equation, we get:
Length of arc = (θ/2π) × 2πr
Length of arc = θr
Step 5:
Since the arc of length equal to the circumference of the circle subtends an angle θ, the length of the arc is equal to the circumference of the circle. Therefore, we can write:
θr = C
Step 6:
Substituting the value of C from Step 1, we get:
θr = 2πr
Step 7:
Dividing both sides by r, we get:
θ = 2π
Therefore, the answer is option A) pi radian.
Let us assume that the circumference of the circle is C and the radius of the circle is r.
Step 1:
The circumference of the circle is given by:
C = 2πr
Step 2:
Let us assume that the arc of length equal to the circumference of the circle subtends an angle θ.
Step 3:
We know that the length of the arc of a circle is given by:
Length of arc = (θ/2π) × C
Step 4:
Substituting the value of C from Step 1 in the above equation, we get:
Length of arc = (θ/2π) × 2πr
Length of arc = θr
Step 5:
Since the arc of length equal to the circumference of the circle subtends an angle θ, the length of the arc is equal to the circumference of the circle. Therefore, we can write:
θr = C
Step 6:
Substituting the value of C from Step 1, we get:
θr = 2πr
Step 7:
Dividing both sides by r, we get:
θ = 2π
Therefore, the answer is option A) pi radian.
Community Answer
An arc of length equal to the circumference of the circle subtends an ...
Correct answer should be
(b) 2π radian= 360 degrees
(b) 2π radian= 360 degrees
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An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this?
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An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this?.
An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An arc of length equal to the circumference of the circle subtends an angle a)pi radian b)2pi radian c)pi/2 radian d)4pi radian Correct answer is option A please just solve this?.
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