Question

the diameter of two circle are in ratio 3 : 2 to find the ratio of their area find the area of circle whose circumference is 77 CM ​

Answer 1

Answer:

hope its helpful and please mark me as a brainlist

Answer 2

Question 1:-

The diameter of two circle are in ratio 3 : 2. Find the ratio of their area.

━━━━━━━━━━━━━━━━

Soluton:

Area of Circle 1 : Area of Circle 2

= $\pi {r}_{1}^{2} : \pi {r}_{2}^{2}$

$= \dfrac{\pi {r}_{1}^{2} }{\pi {r}_{2}^{2} }$

$= \dfrac{ {r}_{1}^{2} }{ {r}_{2}^{2} }$

$= {( \dfrac{r1}{r2}) }^{2}$

$= {( \dfrac{3}{2}) }^{2}$

$= \dfrac{9}{4}$

$\red{\bold{\boxed { = 9 : 4}}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Question 2:-

Find the area of circle whose circumference is 77 cm.

━━━━━━━━━━━━━━━━

Solution:-

Circumference = 77cm

→ 2πr = 77cm

→ r × 2 × (22/7)= 77 cm

→ r × 44/7= 77 cm

→ r = 77 × 7/44 cm

→ r = 49/ 4 cm

Area of the circle:

$= \pi {r}^{2}$

$= \dfrac{22}{7} \times \dfrac{49}{4} \times \dfrac{49}{4}$

= 471.625 cm²