RunnaGunna RunnaGunna
  • 04-08-2020
  • Mathematics
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Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region

Given AB tangent at D AD OD 4 Find Area of the shaded region class=

Respuesta :

sanyakulum sanyakulum
  • 04-08-2020

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

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