Circle

Introduction

circle is a shape wherein all points have the same distance from the center. Few real-world examples include a wheel, dining plate, coin etc.

Important Terms Related to Circle 

Diameter

The diameter can be termed as a line which is drawn across a circle passing through the center.

Radius

The distance from the middle or center of a circle towards any point on it is a radius. Interestingly, when you place two radii back-to-back, the resultant would hold the same length as one diameter. Therefore, we can call one diameter twice as long as the concerned radius.

Circle Area

In a circle, the area can be stated as π times the square of the radius. It is written as: A = π r× r. Taking into consideration the Diameter: A = (π/4) × D×D

Chord

A line segment that joins two points present on a curve is called as the chord. In geometry, the usefulness of a chord is focused on describing a line segment connecting two endpoints which rest on a circle.

Task
  1. Find the area and the circumference of a circle whose radius is 10 cm. (Take the value of π = 3.14)
  2. Area and Circumference of a Circle.

  3. Find the area of a circle whose circumference is 31.4 cm.

  4. Find the area of a circle whose radius is 7 cm

  5. Find the circumference of a circle whose radius is 9 cm.
  6. The area of a circle is 176 cm2. Find its radius
Process

 

Evaluation
  • Find the circumference of the circles with the following radius: (Take π = 22/7)

    (a) 14 cm (b) 28 mm  (c) 21 cm

  • Find the area of the following circles, given that: (Take π = 22/7)

    (a) radius = 14 mm (b) diameter = 49 m  (c) radius = 5 cm 

Conclusion

Make sure that you understand everything that is being taught.

The due date for the task  is 15,SEPTEMBER 2021 23:59. 

Good Luck