Find radius, circumference, area and arc length in circle

Click For Summary
SUMMARY

The discussion focuses on calculating the radius, circumference, area, and arc length of a circle. The values provided include a radius of 12 inches, a circumference of 75.3982 inches, and an area of 452.389 square inches. The user seeks clarification on the formula for calculating arc length, specifically how to find 105/360 of the circumference. The importance of expressing answers in terms of \(\pi\) is emphasized.

PREREQUISITES
  • Understanding of basic circle geometry
  • Familiarity with the formulas for circumference and area of a circle
  • Knowledge of arc length calculation
  • Ability to work with fractions and proportions
NEXT STEPS
  • Learn the formula for arc length: \( \text{Arc Length} = \frac{\theta}{360} \times \text{Circumference} \)
  • Study the relationship between radius, diameter, and circumference in circles
  • Explore the concept of expressing numerical answers in terms of \(\pi\)
  • Practice solving problems involving circle geometry using different radii
USEFUL FOR

Students studying geometry, educators teaching circle properties, and anyone needing to apply circle formulas in practical scenarios.

Etrujillo
Messages
9
Reaction score
0
So I've been able to solve
A.12 inch
B.24 inch
C.75.3982
D.452.389
Cant solve e. Arc length can anyone please explain the formula. Thank you
 

Attachments

  • 20181204_093318-1-1.jpg
    20181204_093318-1-1.jpg
    14.4 KB · Views: 114
Mathematics news on Phys.org
Etrujillo said:
So I've been able to solve
A.12 inch
B.24 inch
C.75.3982
D.452.389
Cant solve e. Arc length can anyone please explain the formula. Thank you
So far so good.

You know that the circumference is 75.3982 in, then how much is 105/360 of it?

-Dan
 
Note that the instructions say to express your answers in terms of \(\pi\). :)
 

Similar threads

MHB Formula to find arc radius using arc length, chord length, and/or segment angle
  • · Replies 4 ·
Replies
4
Views
6K
MHB Find s, the arc length of a circle
  • · Replies 8 ·
Replies
8
Views
2K
High School Understanding why πr^2 works for different area calculations
  • · Replies 7 ·
Replies
7
Views
2K
MHB How to Solve for r and θ in a Circle's Minor Arc and Sector Area Problem?
  • · Replies 7 ·
Replies
7
Views
4K
MHB Find arc length given chord, radius
  • · Replies 7 ·
Replies
7
Views
5K
MHB How to Calculate Arc Length for a 124° Angle in a Circle?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Find Length of Arc EF in Triangle ABC
  • · Replies 2 ·
Replies
2
Views
2K
MHB What is the formula for finding the area of a circle?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solving a Primary Math Problem: Find the Areas of A & C
  • · Replies 10 ·
Replies
10
Views
2K
MHB ASVAB circle and inscribed rectangle area problem
  • · Replies 6 ·
Replies
6
Views
2K