Question

In circle C, r= 32 units.

Answer 1

Answer:

1024 π units square

Step-by-step explanation:

The area of a circle is found by the formula:

Area of Circle = π × $r^{2}$ units square

where r is the radius of a circle

And π is a Greek letter it is a constant whose approximate value is equal to 3.14159 or 22÷7 is also used sometimes.

The area has a square unit this means if the radius is given in meter then Area has unit meter square.

The area can also be determined by diameter whose formula is given by,

Area of Circle = (π ÷ 4 )× (d)² units square

where d is the radius of a circle

Therefore here,

Area of Circle C = π × r × r

                          = π × 32 × 32 (unit)²

                          = 1024 π (unit)²

Thus, the last option is correct and first four given option is not correct.

Circumference of a circle is found by 2×π×r, where π and r are same as defined above. This is usually determined when we have to ask to find the length of a given boundary in a question.

and Area is found when

We can also derive the formula of a circle which is given by Archimedes, here we consider the circle as the limit of a sequence of regular polygons. And the Area of a regular polygon can be found by half of a perimeter of the circle (i.e. 2×π×r ) multiplied by the distance from its center to its sides i.e. 1÷2×(2×π×r)×r.

Answer 2

Answer:

$1024 {\pi} \: {unit}^{2}$

units