Question

. If the difference between the circumference and radius of a circle is 37 cm then find the area of the circle?




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Answer 1

Answer:

If the difference between the circumference and radius of a circle is 37 cm then the area of the circle is 154 cm²

Step-by-step explanation:

Let us consider the radius be R.

The difference between the circumference and radius of a circle is 37

so,

          circumference-radius=37

Circumference of a circle is=$2\pi R$

                                          $2\pi R-R=37\\ \\ R(2\pi -1)=37\\ \\ R(\frac{44}{7} -1)=37\\ \\ R(\frac{37}{7} )=37\\ \\ \frac{R}{7} =1\\ \\ R=7$

Area of the circle=

                                            $\pi R^{2} \\ \\ =\frac{22}{7} (49)\\ \\ =154$

Answer 2

are of circle = πr² (π=22/7)

=22/7 × 37/2 × 37/2

= 11/7 × 37 × 37/2

= 22/7