brebrechelle
Answered

A sector of a circle is shown. Find its area, rounded to the nearest tenth.

A)
9.8 cm2

B)
10.5 cm2

C)
11.2 cm2

D)
12.3 cm2

*I would like to know how you did it too*

A sector of a circle is shown. Find its area, rounded to the nearest tenth. A) 9.8 cm2 B) 10.5 cm2 C) 11.2 cm2 D) 12.3 cm2 *I would like to know how you did it class=

Answer :

Abu99
Area of a circle = pi * radius^2
But we're not talking about a whole circle, but a portion of the circle.
The proportion of the area of the whole circle occupied by this sector is equal to the ratio of the created angle to the angle of a whole circle;
that may seem a bit confusing but basically:
Area of the sector = pi * radius^2 * 68/360
so...
Area = pi * (4.2)^2 * 68/360
= 10.467...
= 10.5 cm^2
akposevictor

The area of the sector of the circle, to the nearest tenth is: B. 10.5 cm²

What is the Area of the Sector of a Circle?

Area of the sector of a circle = ∅/360 × πr².

r = radius.

Given:

∅ = 68°

Radius (r) = 4.2 cm

Substitute

Area of the sector = 68/360 × π × 4.2²

Area of the sector = 10.5 cm²

Learn more about area of sector on:

https://brainly.com/question/22972014

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