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Her chances of getting that should be 2/6
The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
Total = 2 + 4 + 10 = 16
Bubble Gums and Tootsie Roll = 2 + 10 = 12
P(Bubble Gums and Tootsie Roll) = 12/16 = 3/4
The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure
and the circle has radius
, then the arc has length
such that

where
is given in radians. Then

If
is given in degrees, then
