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lana [24]
3 years ago
11

Can anybody help me on this 16 16π 16π - 16 16 - 16π are the answer choices

Mathematics
2 answers:
KengaRu [80]3 years ago
6 0

Answer:

The area of the white region = 16π - 16 ⇒ third answer

Step-by-step explanation:

* Look at the figure and lets explain it

- A circle with two diameters perpendicular to each other

- Two shaded isosceles right angled triangle with leg length 4 units

* To find the area of the white region:

- Find the area of the circle ⇒ (1)

- Find the area of the two shaded triangles ⇒ (2)

- Subtract (2) from (1)

* Lets do that

∵ The length of the radius of the circle = 4 units

∴ The area of the circle = π (4)² = 16π

∵ The area of each triangle = (1/2) × base × height

∵ The length of the base and the length of the height = 4 units

∴ The area of the two triangles = 2 × 1/2 × 4 × 4 = 16 units

* Lets subtract the area of the triangles from the area of the circle

∴ The area of the white region = 16π - 16

kvasek [131]3 years ago
3 0
The answer is 16 pi - 16. The area of each triangle is 8, so both triangles are 16. The area of the circle is pi times the radius squared, 16 pi.
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If PQR ≈ STU complete each part
lorasvet [3.4K]

*see attachment for the complete diagram and what is required.

Answer:

✅ST = 7 m

✅SU = 8 m

✅m<R = 46°

✅m<Q = 75°

✅m<S = 59°

Step-by-step explanation:

Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.

Thus:

<P ≅ <S, therefore, m<P = m<S = 59°

<Q ≅ <T, therefore, m<Q = m<T = 75°

<R ≅ <U, therefore, m<R = m<U.

PQ ≅ ST, therefore, PQ = ST

QR ≅ TU, therefore, QR = TU

PR ≅ SU, therefore, PR = SU

Let's find the measure of the following with the information we already know:

✅ST = PQ = 7 m

✅SU = PR = 8 m

✅m<R = 180 - (m<P + m<Q) (sum of ∆)

m<R = 180 - (59°+ 75°) (substitution)

m<R = 180 - 134

m<R = 46°

✅m<Q = m<T = 75°

✅m<S = m<P = 59°

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3 years ago
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