Question

find the area of sector of the length an arc and radius of which are 2.2cm and 3.5cm respectively​

Answer 1

Answer:

3.85 cm²

Step-by-step explanation:

Area of sector.

= area of circle× lengh of Arc/ circumference

πr²×arc/2πr= r×arc/2 = 2.2×3.5/2= 3.85 cm²

Answer 2

Given:

• Length of arc = 2.2cm.

• radius = 3.5cm.

To Find:

• Area of sector.

Formula Used:

$\star \: {\bf\green{Area \: of \: sector = \frac{length \: of \: arc \: \times \: radius}{2} }}$

Solution:

We know that,

$\star \: \boxed{\sf\red{Area \: of \: sector = \frac{length \: of \: arc \: \times \: radius}{2} }}$

Placing values,

$:\implies\mathtt{ \frac{2.2 \times 3.5}{2} }$

$:\implies\mathtt{ \frac{7.7}{2} }$

$:\implies\mathtt{3.85}$

$\sf\star \: \underbrace\orange{Area \: of \: sector = 3.85cm^2} \: \star$

Hence,

• Area of sector is 3.85cm².

ExtraShots:

• Area of circle = πr².

• Circumference of circle = 2πr.

• Area of sector = l × r / 2.

• length of arc = θ / 360 × 2πr.

• Area of segment = r² (πθ / 360 - sin θ / 2)