Question

the difference between the Circumference. and radius of a circle is37 cm thearea of the circle is 9 a) 111cm Square b)154 cm Square c)148 cm Square​

Answer 1

Given :

Difference betweem Circumference and Radius of a circle = 37 cm

We know that

• Cicumference of a circle = 2πr units
• Radius of circle = r units

$\Rightarrow \sf 2\pi r - r = 37$

$\Rightarrow \sf r(2\pi - 1) = 37$

$\Rightarrow \sf r \bigg(2 \big( \frac{22}{7}) - 1 \bigg) = 37$

$\Rightarrow \sf r \bigg(\frac{44 - 7}{7} \bigg) = 37$

$\Rightarrow \sf r \bigg(\frac{37}{7} \bigg) = 37$

$\Rightarrow \sf r = 7$

Area of the circle = πr² sq.units = 22/7 × 7² = 22 × 7 = 154 cm²

Hence the area of the circle is 154 cm² ( Option B )