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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 t class=

Verified 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

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