Question

Complete the table by finding the circumference and area of a circle with a radius of 279 inches. Substitute 3.14 for pi. Express your answers to the hundredths place. (1 point)
COURSE TOOLS
Radius Circumference
279 in.
_in.
Area
Lin.?
GPT 3.5
Radius: 279 inches

Circumference: C = 2 * pi * r
C = 2 * 3.14 * 279
C ≈ 1751.16 inches

Area: A = pi * r^2
A = 3.14 * 279^2
A ≈ 245086.74 square inches

Therefore, the circumference of the circle is approximately 1751.16 inches and the area is approximately 245086.74 square inches.
A triangular flag has a height of 15 inches and a base length of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 10 inches. What is the area of Magnolia's scale drawing? Solve the problem by computing the actual area from the scale drawing. Show your work. (4 points)
show ur work in this format below
18+13=?
8+3=11
10+10=20
20+11=31
18+13=31
31
GPT 3.5
Original flag:
Height = 15 inches
Base length = 25 inches
Area of triangle = (1/2) * base length * height
Area = (1/2) * 25 * 15
Area = 187.5 square inches

Scale drawing:
New base length = 10 inches
Ratio of new base length to original base length = 10/25 = 2/5
Since the base length is reduced by a factor of 2.5, the area will be reduced by a factor of (2.5)^2 = 6.25

Area of Magnolia's scale drawing = Original area / (scale factor)^2
Area of Magnolia's scale drawing = 187.5 / 6.25
Area of Magnolia's scale drawing = 30 square inches

Therefore, the area of Magnolia's scale drawing is 30 square inches.