In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60o

 

Use the information to answer the question below [Take π = 22/7]

What is the length of the arc PXQ?

 

lordswayne

9 years ago

according to the formula



length of arc= ∅/360 * 2πr



radius=3.5 ∅=60°



therefore, l= 60/360 * 2*22/7*3.5

l= 1/6*7* 22/7



l= 22/6

l=11/3cm

Hormotoyosee

6 years ago

3.5 × 22/7 = 11

sirbello.ali

5 years ago

The correct answer is 11/3, not 11.

Jojo4pf

3 years ago

To find the length of the arc PXQ, we need to first find the length of the circumference of the circle and then use the given angle to find the length of the arc.

The circumference of a circle with radius 3.5cm is given by the formula:

C = 2πr
where r is the radius of the circle and π is the constant pi.

Substituting the given values, we get:

C = 2 x (22/7) x 3.5
C = 22 cm (approx)

Therefore, the circumference of the circle is approximately 22 cm.

Now, we can use the given angle to find the length of the arc PXQ. The angle POQ is 60 degrees, which is one-sixth of the total angle around the center of the circle (360 degrees). Therefore, the length of the arc PXQ is one-sixth of the circumference of the circle:

Length of arc PXQ = (1/6) x C
= (1/6) x 22
= 3.67 cm (approx)

Therefore, the length of the arc PXQ is approximately 3.67 cm. that is also 11/3 cm