A = pi r2
r2 = A/pi
r2(1/2) = (A/pi)1/2
r = (120/pi)1/2
r ≈ 6 in
C = 2 pi r
C = (2)(pi)(6 in)
C ≈ 37.7 in
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Area of whole circle = pi*r2 = 64*pi Area of Sector = Area of Whole Circle * Angle of Sector/Angle of Whole Circle = Area of Whole Circle * 120/360 = Area of Whole Circle / 3 = 64*pi/3 = 67.0 to the nearest tenth.
In ratios, the ratios of areas is the square of the ratio of sides. Consider the original circle and the new larger circle formed by multiplying its radius (length) by 3: The circles have lengths in the ratio 1 : 3 → the circle have areas in the ratio 1² : 3² = 1 : 9 → The larger circle's area is 9 × 120 mm² = 1080 mm²
The area of the sector of the circle formed by the central angle is: 37.7 square units.
circumference of the circle = 2*pi*10 = 20pi units of measurement length of arc = (120/360)*20pi = 20.944 units (rounded to 3 decimal places)
To shade two-thirds of a circle, you first need to understand that a full circle represents 360 degrees. Two-thirds of a circle would then be 240 degrees (2/3 * 360 = 240). To visually represent this shading, you can start by drawing the full circle. Then, mark off 240 degrees of the circle, starting from any point on the circumference, and shade the area within those markings to represent two-thirds of the circle.