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1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
composite figure? Show you work.
30
4 m
5.5 m

1 This Composite Figure Is Created By Placing A Sector Of A Circle On A Rectangle What Is The Area Of This Composite Figure Show You Work 30 4 M 55 M class=

Sagot :

The area of the composite figure is 23.98 m²

Composite figure;

Composite figure are made of up of two dimensional figures which might include rectangle, triangle etc.

The above composite figure is made up of a sector of a circle and a rectangle. The area of the composite figure is the sum of the whole areas.

Therefore,

area of the composite figure = area of the sector + area of rectangle

Therefore,

area of the sector = ∅ / 360 × πr²

where

r = radius = 5.5 / 2 = 2.75

area of the sector = 30 / 360 × 3.14 × 2.75²

area of the sector = 712.3875 / 360

area of the sector = 1.97885416667

area of the sector = 1.98 m²

area of the rectangle = lw

where

l = length

w = width

area of the rectangle = 4 × 5.5

area of the rectangle = 22 m²

Therefore,

area of the composite figure = 1.98 + 22 = 23.98 m²

learn more on composite figure here: https://brainly.com/question/9144791

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