bguardado3974 bguardado3974
  • 17-06-2020
  • Mathematics
contestada

Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm. Round to the nearest tenth.

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 22-06-2020

Answer:

Step-by-step explanation:

Mathematically, the area of a sector can be calculated using the formula below;

area of sector = angle/360 * pi * r^2

From the question, angle = 180

pi= 22/7

r = d/2 = 5.6cm/2 = 2.8 cm

So the area of the sector is as follows;

A = 180/360 * 22/7 * 2.8^2

A = 2 * 22/7 * 2.8^2 = 49.28

which is 49.3 cm^2 to the nearest tenth

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