Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2. Circle B has a diameter of approximately 60 inches. Which of these could be the area of Circle B?
Select one:
About 100 in²
About 300 in²
About 900 in²
About 2,700 in²

≅ 2827.4334

Step-by-step explanation:

cirlce b has diameter of 60in, so the radius is 30in (60/2)

plug in the circle area formula-->  A = π r²

A = π(30)²

A = π(900)

A ≅ 2827.4334

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.