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The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle?
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The radii of tow circle are 19cm and 9cm respectively. Find the radius...
Problem:
The radii of two circles are 19cm and 9cm respectively. Find the radius of the circle which has a circumference equal to the sum of the circumference of the two circles.
Solution:
To solve this problem, we need to find the radius of a circle that has a circumference equal to the sum of the circumferences of the two given circles. We can do this by using the formula for the circumference of a circle.
Formula:
The formula for the circumference of a circle is given by:
C = 2πr
Given:
The radii of the two circles are:
r1 = 19cm
r2 = 9cm
Step 1: Calculate the circumferences of the given circles:
Using the formula for the circumference of a circle, we can calculate the circumferences of the two given circles.
C1 = 2πr1
C1 = 2 * 3.14 * 19
C1 ≈ 119.32 cm
C2 = 2πr2
C2 = 2 * 3.14 * 9
C2 ≈ 56.52 cm
Step 2: Find the sum of the circumferences of the two circles:
To find the sum of the circumferences, we simply add the two circumferences together.
C = C1 + C2
C ≈ 119.32 + 56.52
C ≈ 175.84 cm
Step 3: Find the radius of the circle with the given circumference:
Now, we need to find the radius of the circle that has a circumference equal to the sum of the circumferences of the two given circles.
C = 2πr
175.84 = 2 * 3.14 * r
Simplifying the equation, we have:
r = 175.84 / (2 * 3.14)
r ≈ 27.97 cm
Answer:
The radius of the circle that has a circumference equal to the sum of the circumferences of the two given circles is approximately 27.97 cm.
The radii of two circles are 19cm and 9cm respectively. Find the radius of the circle which has a circumference equal to the sum of the circumference of the two circles.
Solution:
To solve this problem, we need to find the radius of a circle that has a circumference equal to the sum of the circumferences of the two given circles. We can do this by using the formula for the circumference of a circle.
Formula:
The formula for the circumference of a circle is given by:
C = 2πr
Given:
The radii of the two circles are:
r1 = 19cm
r2 = 9cm
Step 1: Calculate the circumferences of the given circles:
Using the formula for the circumference of a circle, we can calculate the circumferences of the two given circles.
C1 = 2πr1
C1 = 2 * 3.14 * 19
C1 ≈ 119.32 cm
C2 = 2πr2
C2 = 2 * 3.14 * 9
C2 ≈ 56.52 cm
Step 2: Find the sum of the circumferences of the two circles:
To find the sum of the circumferences, we simply add the two circumferences together.
C = C1 + C2
C ≈ 119.32 + 56.52
C ≈ 175.84 cm
Step 3: Find the radius of the circle with the given circumference:
Now, we need to find the radius of the circle that has a circumference equal to the sum of the circumferences of the two given circles.
C = 2πr
175.84 = 2 * 3.14 * r
Simplifying the equation, we have:
r = 175.84 / (2 * 3.14)
r ≈ 27.97 cm
Answer:
The radius of the circle that has a circumference equal to the sum of the circumferences of the two given circles is approximately 27.97 cm.
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The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle?
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The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle?.
The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of tow circle are 19cm and 9cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumference of the two circle?.
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