Question

The are of a sector subtends an angle of measure 72° at
the centre. Find the area of the sector if the radius is
5cm (3.14)
​

Answer 1

Answer:

15.70 cm sq

Step-by-step explanation:

given Q=72°

r=5cm

now by using formula :

area of sector (A) =(Q/360)xπr^2

We have : A= (72/360)x(3.14)x25

A=(1/5)x3.14x25

A=15.70 cm sq

Answer 2

• The area of this circular sector is equal to 15.7 cm²

To calculate the area of a circular sector, we use the following formula:

$\star \pink{\sf A_{sc}=\dfrac{\alpha \cdot \pi \cdot r^2}{360^\circ}}$

• Where α is the measure of the central angle and r is the measure of the radius of the circle

Replacing the values in the formula:

$\sf :\implies A_{SC}=\dfrac{72^\circ\cdot \pi \cdot 5^2}{360^\circ}$

$\sf :\implies A_{SC}=\dfrac{72^\circ \cdot \pi \cdot 25}{360^\circ}$

$\sf :\implies A_{SC}=\dfrac{1800\pi}{360^\circ}$

$\purple{\sf :\implies A_{SC}=15.7\: cm^2}$

• Therefore, the area of a circular sector with a central angle of 72° and a radius measuring 5 cm is equal to 15.7 cm².

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