Area of circle word problem

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Presentation transcript:

Area of circle word problem

Recap- Circumference of circle Application We know that perimeter is measuring the outside of any shape. Let us learn how to calculate perimeter by small Illustration of using rope length. Let us take a rope of x length and try reshaping the rope into a square as given below. X length From this, its clearly seen that Perimeter of a square = length of the rope. In case of circle perimeter is circumference Circumference of circle = length of rope

Area of the circle application introduction Example 1: A goat is tethered by a rope 14 m long. Find the maximum area that the goat can graze. Solution: Given: Radius of the circle = Length of the rope = 14m (r = 14 m) To Find : Area that goat can graze We know that Area of circle = πr² 2 Divide 14 and 7 by 7 Area = 22 x 2 x 14 = 616 m2 (Ans)

Area of the circle application introduction Example 2: A donkey is tethered by a rope 6.3 m long. Find the maximum area that the donkey can graze. Solution: Given: Radius of the circle = Length of the rope = 6.3m (r = 6.3 m) To Find : Area that goat can graze We know that Area of circle = πr² 0.9 Divide 6.3 and 7 by 7 Area = 22 x 0.9 x 6.3 = 124.74 m2 (Ans)

Try these A goat is tethered by a rope 21 m long. Find the maximum area that the goat Can graze. A sheep is tethered by a rope 4.2 m long. Find the maximum area that the sheep can graze.