Area of circles

    Cards (34)

    • What is the approximate value of π\pi?

      About 3.1416
    • What is the definition of the radius of a circle?
      Distance from center to any point
    • What does π\pi represent in the area formula?

      It represents the ratio of circumference to diameter
    • What does r2r^{2} mean in the area formula?

      It means the radius squared
    • What is the formula for the area of a circle?
      A=A =πr2 \pi r^{2}
    • What is the area of a circle with radius 4 cm?
      50.27cm250.27 cm^{2}
    • What are the components of the area formula A=A =πr2 \pi r^{2}?

      • π\pi: Constant, approximately 3.14
      • r2r^{2}: Radius squared (radius multiplied by itself)
    • What is the radius of the circle shown in the image?
      6 m
    • What is the circumference of a circle with a diameter of 2 cm?
      Approximately 6.286.28 cm
    • What does AA represent in the area formula?

      Area of the circle
    • How do you calculate the circumference of a circle using π\pi?

      • Circumference formula: C=C =dπ d \pi
      • Where dd is the diameter
    • If the radius (r)(r) is 4 cm, what is r2r^{2}?

      16cm216 cm^{2}
    • What does π\pi represent in geometry?

      Relationship between circumference and diameter
    • What are the steps to calculate the area of a circle given the radius?
      1. Identify the radius.
      2. Use the formula A=A =πr2 \pi r^{2}.
      3. Substitute the radius value into the formula.
      4. Calculate the area.
    • How does the value of π\pi remain constant?

      It is a ratio of circumference to diameter
    • How do you calculate the area of the circle shown in the image?
      1. Radius (r) = 6 m
      2. Use the formula: A=A =πr2 \pi r^2
      3. Plug in the values: A=A =π×62= \pi \times 6^2 =36π m2 36\pi \text{ m}^2
      4. Area = 36π m^2
    • How do you calculate the area of a circle with radius 6m?
      A=A =36π113m2 36\pi \approx 113 m^{2}
    • What does the diameter of a circle represent in relation to the radius?
      Diameter is twice the radius
    • What is the diameter of the circle shown in the image?
      12 m
    • What is the approximate area of a circle with radius 6m?
      Approximately 113 m²
    • What does rr represent in the area formula?

      Radius of the circle
    • What is the squared radius of a circle with a radius of 5 meters?
      25m225 m^{2}
    • If a circle has a radius of 3 cm, what is its area?
      28.27cm228.27 cm^{2}
    • How do you calculate the area of a circle with a diameter of 10 meters?
      Find the radius, square it, then apply
    • Why is π\pi considered a special number in mathematics?

      It is a constant ratio for all circles
    • If a circle has a diameter of 10 meters, what is its radius?
      5m5 m
    • What is the formula to calculate the area of a circle?
      A=A =πr2 \pi r^2
    • What is the area of a circle with a radius of 5 meters?
      78.54m278.54 m^{2}
    • What is the final area of a circle with a radius of 5 meters?
      78.54m278.54 m^{2}
    • How do you find the area of a circle with a radius of 3 cm?
      Square the radius and apply the formula
    • What is the first step to calculate the area of a circle with radius 3 cm?
      Square the radius
    • What is the squared radius of a circle with radius 3 cm?
      9cm29 cm^{2}
    • What is the area of a circle and how is it calculated?
      • The area is the space inside the circle.
      • Calculated using the formula: A=A =πr2 \pi r^{2}
    • If the diameter of a circle is 12m, what is the radius?
      6m6 m