4. A chord AB of a circle with centre O is 10 cm. If the chord is 12 cm away f om centre, then what is the radius of the circle?

Understanding circle geometry is fundamental in Class 10 tuition coaching. As an experienced tutor on UrbanPro.com, I'll guide you through solving a problem involving a circle, its center, and a given chord length, highlighting the importance of grasping circle properties.

Heading 1: Given Information: Establishing the initial information provided in the problem.

Sub-heading 1: Circle Elements:

• Circle with center O.
• Chord AB with a length of 10 cm.
• The chord is 12 cm away from the center.

Heading 2: Defining the Problem: Clearly stating the objective - finding the radius of the circle.

Sub-heading 1: Objective:

• Determine the radius of the circle with the given chord length and distance from the center.

Heading 3: Understanding Circle Geometry: Briefly explaining the fundamental properties of circles related to the problem.

Sub-heading 1: Relationship between Chord, Radius, and Distance from Center:

• The perpendicular bisector of a chord passes through the center of the circle.
• The radius is the distance from the center to any point on the circle.

Heading 4: Applying Circle Properties: Utilizing circle properties to solve the problem.

Sub-heading 1: Perpendicular Bisector Concept:

• Identify the midpoint of the chord.
• The perpendicular bisector of the chord passes through the center.

Sub-heading 2: Calculation Steps:

• Apply the Pythagorean theorem to find the radius.

Heading 5: UrbanPro's Expert Math Tutors - Circle Geometry Mastery: Highlighting the role of UrbanPro in enhancing understanding of circle geometry.

• Conceptual Clarity: Tutors ensure students grasp circle properties, fostering a deep understanding.
• Real-world Applications: UrbanPro's tutors relate geometric principles to real-world scenarios, making learning more engaging.
• Interactive Learning: Tutors conduct interactive sessions, ensuring active student participation in geometry problem-solving.

Heading 6: Why Choose UrbanPro for Class 10 Tuition Coaching? Emphasizing the advantages of UrbanPro's platform for mathematics coaching.

• Verified Tutors: UrbanPro verifies the credentials of its tutors, ensuring students receive guidance from qualified and experienced educators.
• Customized Learning Plans: Tutors tailor lessons to suit individual learning styles, ensuring effective understanding of geometric principles.
• Proven Academic Success: Many students have excelled in mathematics through UrbanPro's platform, showcasing the effectiveness of our tuition coaching.

Conclusion: Circle Geometry Excellence with UrbanPro's Expertise: In conclusion, UrbanPro.com is the ideal platform for mastering circle geometry in Class 10 tuition coaching. Our experienced tutors guide students through intricate problems involving circle properties, providing a strong foundation in geometric analysis. Join UrbanPro for trusted tuition coaching and elevate your circle geometry problem-solving skills. Success in mathematical reasoning awaits you with UrbanPro's expert tutors!**