We appreciate your visit to In circle L with tex m angle KLM 138 circ tex and tex KL 8 tex find the area of sector KLM Round to the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
77.07 square units
Step-by-step explanation:
To find the area of sector KLM in circle L, we can use the formula for the area of a sector:
[tex]A = \left(\dfrac{\theta}{360^\circ}\right) \times \pi r^2[/tex]
where:
- A is the area of the sector.
- r is the radius of the circle.
- θ is the central angle (in degrees).
Given values:
- m∠KLM = 138°
- radius = KL = 8
Substitute the given values into the formula and solve for A:
[tex]A = \left(\dfrac{138^{\circ}}{360^{\circ}}\right) \times \pi (8)^2[/tex]
[tex]A = \left(\dfrac{23}{60}\right) \times 64\pi[/tex]
[tex]A = 77.073739768...[/tex]
[tex]A = 77.07\text{ square units (nearest hundredth)}[/tex]
Therefore, the area of sector KLM rounded to the nearest hundredth is:
[tex]\Large\boxed{77.07 \text{ square units}}[/tex]
Thanks for taking the time to read In circle L with tex m angle KLM 138 circ tex and tex KL 8 tex find the area of sector KLM Round to the. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
