Question

the circumference of a circle is 136 m. find the radius and the area of the circle

Answer 1

Answer:

circumference of circle = 136m

formula of circumference of circle = 2πr

where,π = 22

                 7

and r means radius

so, 2πr=136

    πr=136÷2

    πr=68

    r=68÷π

    r=68÷22

               7

r=68 x 7

          22

r=476

   22

r=21.63

so radius = 21.63

now area of circle = πr²

                                22 x (21.63)²

                                 7

                               22 x 476.85

                                7

                              10292.85

                                     7

                              1470.40

so area of circle = 1470.40

Answer 2

Answer:

Radius= 21.63 m    Area= 1469.049 m²

Step-by-step explanation:

To find the radius:

Circumference=2πr

136= 2(22/7)r

136=(44/7)r

The 7 in the fraction will be shifted to the other side and hence, will multiply

136*7=44r

952=44r

Since the 44 was being multiplied with r, when we will shift it to the other side, it will divide

952/44=r

21.63m= radius

To find the area:

Area=πr²

Area=(22/7)(21.63)²

Area=(22/7)(467.85)

Divide 22 by 7 in order to make both numbers decimals

Area= 3.14(467.85)

Area=1469.049 m²

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