Question

the diameter of pizza is 30 cm.what I'd the area of the upper surace of a sector of the pizza is lenth 8cm
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Answer 1

Answer:

60cm2

Step-by-step explanation:

Area of sector when arc is given = (L x r)/2

Where L = length of arc and r = radius of the circle

Here L = 8 cm and r = 15 cm

Therefore, Area = = 60cm2

Answer 2

Given :- The diameter of pizza is 30 cm. what is the area of the upper slice of a sector of the pizza is length 8cm ?

Solution :-

we know that,

• The arc length is equal to radius multiplied by the central angle (in radians).
• Area of sector = { (radius)² * the central angle (in radians) } / 2 .

given that ,

• Length of arc = 8 cm.
• radius of pizza = (diameter/2) = 30 / 2 = 15cm.

So,

Putting values we get,

→ Length of arc = radius * angle at centre.

→ 8 = 15 * angle at centre .

→ Angle at centre ( in radians) = (8/15) .

Therefore,

→ Area of sector = { (radius)² * the central angle (in radians) } / 2

→ Area of sector = { (15)² * (8/15) } / 2

→ Area of sector = (15 * 8) / 2

→ Area of sector = 60 cm². (Ans.)

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