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is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4

Respuesta :

The area of a circle with radius 4 is 50.24.

Writing the equation form for area and radius of two circles -

(Area/radius²) for circle 1 = (Area/radius²) for circle 2

Keep the values in the relation to find the area of small circle.

314/10² = Area/4²

Area = (314 × 16)/100

Performing multiplication on Right Hand Side of the equation to find the area of circle

Area = 5024/100

Performing division on Right Hand Side of the equation to find the area of circle

Area = 50.24

Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.

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